Traveling Solutions Research Articles

New exact solutions for the nonlinear lattice problem via the auxiliary fractional shape

In this study we introduce the auxiliary rational shape for obtaining new exact travelling solutions of the nonlinear lattice equation. These solutions include rational solutions, with periodic and doubly periodic wave profiles. Many new exact traveling wave solutions are successfully obtained.

Exact solutions for the KdV–mKdV equation with time-dependent coefficients using the modified functional variable method

In this article, the functional variable method (fvm for short) is introduced to establish new exact travelling solutions of the combined KdV–mKdV equation. The technique of the homogeneous balance method is used in second stage to handle the appropriated solutions. We show that, the method is straightforward and concise for several kinds of nonlinear problems. Many new exact travelling wave solutions are successfully obtained.

Exact structures for the KdV–mKdV equation with variable coefficients via the functional variable method

In this study we introduce the functional variable method (fvm for short) for obtaining new exact travelling solutions of the combined KdV–mKdV equation. The technique of the homogeneous balance method is used in second stage to handle the appropriated solutions. We show that, the method is straightforward and concise for several kind of nonlinear problems. Many new exact traveling wave solutions are successfully obtained.

Cameron Etezadi: Barbarians at the Gate--Now What?

The author talks to Cameron Etezadi, deputy CTO at Concur, a leading provider of integrated travel and expense management solutions. Concur was recently acquire by SAP, and Etezadi discusses, among other things, integrating technology and culture in the midst of a merger.

Wormhole geometries in fourth-order conformal Weyl gravity

We present an analysis of the classic wormhole geometries based on conformal Weyl gravity, rather than standard general relativity. The main characteristics of the resulting traversable wormholes remains the same as in the seminal study by Morris and Thorne, namely, that effective super-luminal motion is a viable consequence of the metric. Improving on previous work on the subject, we show that for particular choices of the shape and redshift functions the wormhole metric in the context of conformal gravity does not violate the main energy conditions at or near the wormhole throat. Some exotic matter might still be needed at the junction between our solutions and flat spacetime, but we demonstrate that the averaged null energy condition (as evaluated along radial null geodesics) is satisfied for a particular set of wormhole geometries. Therefore, if fourth-order conformal Weyl gravity is a correct extension of general relativity, traversable wormholes might become a realistic solution for interstellar travel.

Symmetry in the problem of wave modes of thin viscous liquid layer flow

The equations in conservative form for modelling nonlinear waves on a liquid film flowing down a vertical plane have been investigated. It has been found out that the equations with boundary conditions are invariant under parity transformation in the extended computational domain. The steady-state travelling solutions are numerically shown to have the detected symmetry for moderate Reynolds numbers. The use of this symmetry for the numerical solution of the problem by Galerkin methods significantly increases the efficiency of calculations.

A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation

In this paper, the generalized travelling solutions of the nonlinear fractional beam equation is investigated by means of homotopy perturbation method. The fractional derivative is described in the Caputo sense. The reliability and potentiality of the proposed approach which is based on joint Fourier-Laplace transforms and homotopy perturbation method will be discussed. The solutions can be approximated via an analytical series solution. Moreover, convergence and stability of the proposed approach for this equation is investigated. The results reveal that the proposed scheme is very effective and promising.

Dissipative effects in nonlinear Klein-Gordon dynamics

We consider dissipation in a recently proposed nonlinear Klein-Gordon dynamics that admits exact time-dependent solutions of the power-law form , involving the q-exponential function naturally arising within the nonextensive thermostatistics (, with ). These basic solutions behave like free particles, complying, for all values of q, with the de Broglie-Einstein relations , and satisfying a dispersion law corresponding to the relativistic energy-momentum relation . The dissipative effects explored here are described by an evolution equation that can be regarded as a nonlinear generalization of the celebrated telegraph equation, unifying within one single theoretical framework the nonlinear Klein-Gordon equation, a nonlinear Schrödinger equation, and the power-law diffusion (porous-media) equation. The associated dynamics exhibits physically appealing traveling solutions of the q-plane wave form with a complex frequency ω and a q-Gaussian square modulus profile.

An experience-based taxonomy of branded hotel mobile application features

Increasing ownership of smartphones and availability of mobile travel solutions have driven the hotel industry to respond with creating mobile applications (apps). Research on mobile applications in the hotel context is relatively limited and a theory-based taxonomy related to hotel mobile application features is lacking. Taxonomies of hotel app features can provide a framework to comparatively analyze features and identify important gaps. This study examined the features available in a sample of 24 North American branded hotel mobile applications. The taxonomy developed in this research identifies 11 hotel app feature categories mapped onto four levels of technology integration and experience co-creation. The taxonomy provides insight into the current and future development of features and demonstrates opportunities where hotels can differentiate their guest service. It also highlights potential difficulties in implementing higher-level features and draws attention to differences in feature implementation across the family brand, brand and hotel property-levels.

Developing the ‘Service’ in Mobility as a Service: Experiences from a Field Trial of an Innovative Travel Brokerage

This paper presents some of the findings from the trial and evaluation of an example of Mobility-as-a-Service (MaaS). The service, UbiGo, was developed within the Go:Smart project in Gothenburg, Sweden. In total 195 individuals in 83 households became paying customers over a period of six months. Overall, outcome of the trial was positive, i.e. the service was used and the customers were satisfied, more so than with their previous travel solution. Based on questionnaires and interviews, key service attributes were identified, including the ‘transportation smorgasbord’ concept, simplicity, improved access and flexibility, convenience, and economy. It is argued that successful implementation of MaaS requires careful consideration of these design attributes. However, MaaS relies on cooperation and collaboration, on the notion of a co-operative and interconnected transport system (including services, infrastructure, information, and payment), where boundaries between not only transport modes are blurred but also between public and private operators. The evaluation of UbiGo indicated that the main obstacles to further dissemination of MaaS may be found within and between service providing companies and organisations in terms of, e.g. regulations and institutional barriers.

A Self-Powered Triboelectric Nanosensor for PH Detection

A self-powered, sliding electrification based triboelectric sensor was developed for detecting PH value from a periodic contact/separation motion. This innovative, cost-effective, simply designed sensor is composed of a fluorinated ethylene propylene thin film and an array of electrodes underneath. The operation of the TENG (triboelectric nanogenerator) sensor relies on a repetitive emerging-submerging process with traveling solution waves, in which the coupling between triboelectrification and electrostatic induction gives rise to alternating flows of electrons between electrodes. On the basis of coupling effect between triboelectrification and electrostatic induction, the sensor generates electric output signals which are associated with PH value. Experimental results show that the output voltage of the TENG sensor increases with the increasing PH value, which indicate that the PH value of different solution can be real-time monitored. This work not only demonstrates a new principle in the field of PH value measurement but also greatly expands the applicability of triboelectric nanogenerator (TENG) as self-powered sensors.

Empirical investigation of the impact of using co-design methods when generating proposals for sustainable travel solutions

This paper presents an empirical comparison of idea generation within the context of reducing the number of single occupancy car journeys to and from a UK university campus. Separate co-design and consultative groups were matched with respect to (1) creativity when problem solving, (2) normal commuting mode and (3) intention to adopt sustainable behaviours. The co-design group generated a significantly greater number of innovative ideas than the consultative group (using an email-based methodology); however, this was due to the greater number of total ideas (rather than the higher proportion of innovative ideas) generated by this group. The co-design group was able to think more systemically about potential solutions and generate proposals that were not either linked to their own commute mode, or aligned with any one specific mode of transport. The findings suggest that co-design offers benefits as a process for idea generation within the sustainable travel context as it promotes idea generation and a more holistic perspective on the problem and potential solutions.

Approximate Analytical Solutions of Time Fractional Whitham–Broer–Kaup Equations by a Residual Power Series Method

In this paper, a new analytic iterative technique, called the residual power series method (RPSM), is applied to time fractional Whitham–Broer–Kaup equations. The explicit approximate traveling solutions are obtained by using this method. The efficiency and accuracy of the present method is demonstrated by two aspects. One is analyzing the approximate solutions graphically. The other is comparing the results with those of the Adomian decomposition method (ADM), the variational iteration method (VIM) and the optimal homotopy asymptotic method (OHAM). Illustrative examples reveal that the present technique outperforms the aforementioned methods and can be used as an alternative for solving fractional equations.

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English

Exact Traveling Wave Solutions for the Modified Double Sine-Gordon Equation

With some elementary methods, a number of new travelling solutions of the modified double Sine-Gordon (SG) equation are obtained,including different types of exact solion solutions and exact periodic solutions.

SnoworSand, Student Travel Solutions

SnoworSand, Student Travel Solutions describes the development of a travel service targeting students abroad for cultural and recreational travel during their foreign sojourns. The case focuses on the decisions needed to transition the venture from a lifestyle hobby into a growing, scalable business. Charlie Bishop, the founder, has created a niche business serving American college students in Europe, providing them with safe, educational, and fun excursions in Europe, Turkey, and North Africa. The venture has significant potential, but to achieve it, Charlie needs to make decisions about marketing strategy, personnel, and logistics, along with the critical issue of how best to finance growth.

Gravity Capillary Standing Water Waves

The paper deals with the 2D gravity-capillary water waves equations in their Hamiltonian formulation, addressing the question of the nonlinear interaction of a plane wave with its reflection off a vertical wall. The main result is the construction of small amplitude, standing (namely periodic in time and space, and not travelling) solutions of Sobolev regularity, for almost all values of the surface tension coefficient, and for a large set of time-frequencies. This is an existence result for a quasi-linear, Hamiltonian, reversible system of two autonomous pseudo-PDEs with small divisors. The proof is a combination of different techniques, such as a Nash–Moser scheme, microlocal analysis and bifurcation analysis.

A Shift from Work-Life Balance to Work-Life Choices: A Study on Tourism Professionals in Goa

Work-life balance is passé, enter work-life choices. But the next question arises, is this concept applicable to every working individual? Goa is predominantly a tourist destination, which thrives on inbound tourism through its extensive dependency on chartered flights, EDM festivals and as a wedding destination. However this study focuses on career oriented men and women, as well as entrepreneurs who work for the tourism industry in Goa. Their focus is on providing travel solutions in terms of visa assistance, booking air travel, planning itineraries. In a nutshell their orientation is towards outbound travel. These individuals have also made some serious choices in life to achieve what they wanted in their professional front. The study tries to identify the human resource issues that are prevalent in the micro, small and medium enterprises that they work with. This also calls for defining the term small and medium tourism enterprises (SMTE). Issues may be translated into remuneration, ethical aspects, relocation, and working hours. The survey responses will reveal the work-life choices made in their business or career.

Construction of some new exact structures for the nonlinear lattice equation

In the present work we examine a generalized coth and csch functions method to construct new exact travelling solutions to the nonlinear lattice equation. The technique of the homogeneous balance method is used to handle the appropriated solutions. Some exact solutions obtained are new. Key words: Nonlinear lattice, travelling wave solutions.

New exact wave solutions for Hirota equation

In this paper, we construct the topological or dark solitons of Hirota equation by using the first integral method. This approach provides first integrals in polynomial form with a high accuracy for two-dimensional plane autonomous systems. Exact soliton solution is constructed through the established first integrals. This method is a powerful tool for searching exact travelling solutions of nonlinear partial differential equations (NPDEs) in mathematical physics.