Extended Trial Function Scheme Research Articles

Optical Soliton Solutions to Gerdjikov-Ivanov Equation Without Four-Wave Mixing Terms in Birefringent Fibers by Extended Trial Function Scheme

Without four-wave mixing terms in birefringent fibers, the extended trial function scheme was used to obtain optical soliton solutions for the coupled system corresponding to the Gerdjikov-Ivanov equation. The procedure reveals singular soliton solutions, bright soliton solutions, and highly important solutions in terms of Jacobi’s elliptic function. And in the limiting case of the modulus of ellipticity, singular and singular-periodic soliton solutions, along with their respective existence criteria.

Optical solitons in fiber Bragg gratings with dispersive reflectivity for cubic–quintic–septic nonlinearity by extended trial function

This paper secured bright and singular soliton solutions to optical fiber Bragg gratings that is considered with cubic–quintic–septic form of nonlinear medium. The extended trial function scheme retrieves such soliton solutions. The existence criteria of these solitons are also presented.

Optical solitons in birefringent fibers having anti-cubic nonlinearity with extended trial function

This paper obtains bright and singular optical solitons that are studied with anti-cubic nonlinearity in birefringent fibers. The extended trial function scheme gave way to these results. The existence criteria of such solitons are also indicated.

Optical solitons in fiber Bragg gratings with dispersive reflectivity for quadratic–cubic nonlinearity by extended trial function method

This paper studies optical solitons in fiber Bragg gratings, that appear with quadratic–cubic nonlinearity, in presence of dispersive reflectivity. The extended trial function scheme revealed bright and singular optical soliton solutions to the model. The phase-matching condition was adopted to this model.

Optical solitons in fiber Bragg gratings with dispersive reflectivity for parabolic law nonlinearity by extended trial function method

This paper applies extended trial function scheme to retrieve bright and singular optical soliton solutions to fiber Bragg gratings that maintains parabolic law nonlinearity. The existence criteria for the solitons are presented. Additional solutions, such as rational waves and periodic solutions, naturally emerge from the scheme as a byproduct.

Optical solitons in (2+1)–Dimensions with Kundu–Mukherjee–Naskar equation by extended trial function scheme

This paper addresses Kundu–Mukherjee–Naskar equation by the aid of extended trial function method to recover optical soliton solutions in (2+1)–dimensions. The integration algorithm revealed doubly periodic functions. Upon taking the limiting values of the modulus of ellipticity, bright and singular solitons as well as singular periodic solutions emerge. Additional solutions such as plane waves also fall out of the scheme.

Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity

This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity. The extended trial function scheme retrieves exact Gaussian solitary wave solutions to the model.

OPTICAL SOLITONS IN BIREFRINGENT FIBERS WITH FOUR{WAVE MIXING BY EXTENDED TRIAL EQUATION METHOD

This paper obtains optical soliton solutions in birefringent bers that are studied in presence of four-wave mixing.The extended trial function scheme is the integration algorithm that is applied. Both Kerr law and parabolic laws are taken into account. The soliton solutions are presented with relevant integrability criteria.

Optical soliton perturbation with full nonlinearity by extended trial function method

The extended trial function scheme is applied to retrieve soliton solutions to the perturbed nonlinear Schrodinger’s equation with ten forms of fiber nonlinearity. Bright, dark and singular soliton solutions are retrieved that appear with their respective existence criteria. Some additional forms of nonlinear waves naturally emerge as a byproduct of the integration scheme.

Optical solitons and conservation law in birefringent fibers with Kundu–Eckhaus equation by extended trial function method

This paper presents bright and singular optical solitons in birefringent fibers modeled by Kundu–Eckhaus equation. The extended trial function scheme successfully obtains such solitons. The conservation law is also computed for the bright solitons.

Optical solitons with Biswas-Arshed equation by extended trial function method

This paper studies soliton dynamics for Biswas-Arshed model that is considered when group velocity dispersion is negligibly small and self-phase modulation is totally absent. Two nonlinear forms for the model are studied by the aid of extended trial function scheme. Bright, dark and singular soliton solutions emerge from this scheme.

Optical solitons in birefringent fibers with quadratic–cubic nonlinearity by extended trial function scheme

This paper employs extended trial function scheme to derive soliton solutions in birefringent fibers with quadratic–cubic nonlinearity. The mathematical algorithm reveals bright and singular optical soliton solutions that are listed with their respective existence criteria.

Chirped and chirp-free optical solitons with generalized anti-cubic nonlinearity by extended trial function scheme

This paper secures optical soliton solutions with generalized anti-cubic nonlinearity by extended trial function scheme. Both chirped and chirp-free optical soliton solutions are recovered. Bright and singular soliton solutions are obtained from the scheme.

Sequel to stationary optical solitons with nonlinear group velocity dispersion by extended trial function scheme

This paper is a continuation to previously reported work on stationary optical solitons with non-Kerr law nonlinearities. Here, a few exotic non-Kerr law nonlinearities are addressed using the same algorithm, namely the extended trial function scheme. Bright, dark and singular stationary solitons are retrieved for five such nonlinear forms of fibers.

Stationary optical solitons with nonlinear group velocity dispersion by extended trial function scheme

This paper applies extended trial function method to obtain stationary optical soliton solutions when group velocity dispersion is nonlinear. There are four forms of nonlinear media that are studied in this paper.

Optical solitons with differential group delay for coupled Fokas–Lenells equation by extended trial function scheme

This paper retrieves optical soliton solutions to the Fokas–Lenells equation in birefringent fibers by the application of extended trial function method. The algorithm reveals bright and singular soliton solutions to the model along with several other solutions whose limiting case for the modulus of ellipticity yields soliton solutions.

Mitigating Internet bottleneck with fractional temporal evolution of optical solitons having quadratic–cubic nonlinearity

This paper studies fractional temporal evolution of optical solitons with quadratic–cubic nonlinearity that comes with a few perturbation terms. Khalil's conformable fractional derivative as well as Liu's extended trial function scheme are applied to retrieve these soliton solutions. The results are applicable to mitigate Internet bottleneck that is a growing problem in telecommunications industry.

Optical solitons with Radhakrishnan–Kundu–Lakshmanan equation by extended trial function scheme

This paper extracts optical soliton solutions to Radhakrishnan–Kundu–Lakshmanan model by the aid of extended trial function scheme. Both Kerr and power laws of nonlinearity are considered in this context. Bright, dark and singular soliton solutions are revealed with this integration approach.

Optical soliton perturbation with full nonlinearity for Kundu–Eckhaus equation by extended trial function scheme

The dynamics of soliton propagation through optical fibers, modeled by perturbed Kundu–Eckhaus equation, is studied in this paper by the aid of extended trial function scheme. The perturbation terms are all of Hamiltonian type that appears with full nonlinearity. Bright and singular soliton solutions are secured with this integration scheme.

Optical solitons with DWDM technology and four-wave mixing

This paper obtains bright and singular optical soliton solutions to DWDM system in presence of four-wave mixing. The extended trial function scheme is adopted. The two types of nonlinear media studied are Kerr law and parabolic law. There are other types of waves that appears as a byproduct to this scheme.