Abstract
Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature. The investigation of traveling wave solutions of nonlinear partial differential equations (NPDEs) plays a significant role in the study of nonlinear physical phenomena. In this article, we construct the traveling wave solutions of modified KDV-ZK equation and viscous Burgers equation by using an enhanced (G '/G) -expansion method. A number of traveling wave solutions in terms of unknown parameters are obtained. Derived traveling wave solutions exhibit solitary waves when special values are given to its unknown parameters.Mathematics subject classification35C07; 35C08; 35P99
Highlights
Engineers, physicists, and mathematicians have always shown their incessant interest in studying nonlinear problems related to numerous scientific applications, such as fluid dynamics, high-energy physics, plasma physics, elastic media, optical fibers, biomathematics, chemical kinematics, chemical physics and geochemistry
There are so many approaches developed over years to analyze/solve such system of nonlinear equations, most of them are based on some assumptions, and approximations
The present article is devoted to construct the exact solutions for modified KDV-ZK equation and viscous Burgers equation using a relatively new technique, named, enhanced (G '/G) -Expansion method
Summary
Physicists, and mathematicians have always shown their incessant interest in studying nonlinear problems related to numerous scientific applications, such as fluid dynamics, high-energy physics, plasma physics, elastic media, optical fibers, biomathematics, chemical kinematics, chemical physics and geochemistry. Since Eq (2.3) is a solution of Eq (2.2), we can set each of the coefficient equal to zero which leads to a system of algebraic equations in terms of ai, bi(−n ≤ i ≤ n; n ∈ N), λ, and W.
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.
