Abstract
The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields. This article addresses the generalized dimensional Hirota–Maccari equation by using two different methods: the exp(−φ(ζ)) expansion method and Addendum to Kudryashov’s method to obtain the optical traveling wave solutions. By utilizing suitable transformations, the nonlinear pdes are transformed into odes. The traveling wave solutions are expressed in terms of rational functions. For certain parameter values, the obtained optical solutions are described graphically with the aid of Maple 15 software.
Highlights
The study of the traveling wave solutions plays a significant role in understanding and describing the characters of nonlinear problems in physical science
We aim to investigate exact physically significant solutions, which are so important and useful due to their very wide application of nonlinear partial differential equations (NLPDEs) in fluid mechanics, fluid dynamics, quantum mechanics, bio-science, physics, chemistry, and other areas of engineering
The search for exact solutions for nonlinear evolution equations (NEEs) has attracted the attention of many scientists in physics and mathematics
Summary
The study of the traveling wave solutions plays a significant role in understanding and describing the characters of nonlinear problems in physical science. Closed form descriptions for nonlinear partial differential equations (NLPDEs) of physical significance exist, we cannot obtain these forms explicitly. Such problems occur especially in various realistic problems in physical systems. In this scenario, we aim to investigate exact physically significant solutions, which are so important and useful due to their very wide application of NLPDEs in fluid mechanics, fluid dynamics, quantum mechanics, bio-science, physics, chemistry, and other areas of engineering. Numerous investigations have been conducted to develop new methods to solve such equations
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
