Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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SOLUTIONS TO A CLASS OF NONLINEAR WAVE EQUATIONS

Authors

  • Yuan-Xi Xie

Keywords:

nonlinear wave equation, direct trial function approach, solitary wave solution, singular travelling wave solution, triangle function solution

DOI:

https://doi.org/10.17654/0972096025003

Abstract

The Burgers equation, KdV equation and Burgers-KdV equation are real physical modes concerning many branches in physics. In this paper, rich types of explicit and exact travelling wave solutions for these three equations, including the solitary wave solutions, the singular travelling wave solutions, the triangle function periodic wave solutions, etc., are presented by a direct trial function approach. Among them, some are new travelling wave solutions.

Received: February 10, 2025
Accepted: March 10, 2025

References

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Published

2025-03-20

Issue

Vol. 118 No. 1 (2025)

Section

Articles

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How to Cite

SOLUTIONS TO A CLASS OF NONLINEAR WAVE EQUATIONS . (2025). Far East Journal of Applied Mathematics, 118(1), 19-38. https://doi.org/10.17654/0972096025003

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