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 THE KdV-BURGERS-KURAMOTO EQUATION

Authors

  • Yuan-Xi Xie

Keywords:

KdV-Burgers-Kuramoto equation, trial function approach, travelling wave solution, solitary wave solution

DOI:

https://doi.org/10.17654/0972096025001

Abstract

Many kinds of travelling wave solutions of the KdV-Burgers-Kuramoto equation including the solitary wave solutions are presented by applying the trial function approach. The results obtained are in agreement with those given in existing reference.

Received: December 30, 2024
Accepted: January 30, 2025

References

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E. J. Parkes, B. R. Duffy and P. C. Abbott, The Jacobi elliptic function method for finding periodic-wave solutions to nonlinear evolution equations, Phys. Lett. A 295 (2002), 280-286.

Y. X. Xie and J. S. Tang, A unified trial function method in finding the explicit and exact solutions to three NPDEs, Phys. Scr. 74 (2006), 197-200.

Y. X. Xie, Explicit and exact solutions to the KdV-Burgers equation, Nuovo Cimento B 121 (2006), 689-697.

Y. X. Xie, Explicit and exact solutions to the mKdV-sine-Gordon equation, Mod. Phys. Lett. B 22 (2008), 1471-1485.

Y. X. Xie, A combination method and its applications to nonlinear evolution equations, Int. J. Mod. Phys. B 26 (2012), 1250110-1-1250110-10.

Y. X. Xie, Seeking the explicit exact solutions of sinh-Poisson type equations by a modified auxiliary ODE technique, Far East J. Appl. Math. 87(2) (2014), 159-180.

Z. T. Fu, S. D. Liu and S. K. Liu, Notes on solutions to Burgers-type equations, Commun. Theor. Phys. (Beijing) 41 (2004), 527-530.

Z. T. Fu, S. K. Liu and S. D. Liu, New exact solutions to the KdV-Burgers-Kuramoto equation, Chaos Solitons Fractals 23 (2005), 609-616.

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Published

2025-03-15

Issue

Vol. 118 No. 1 (2025)

Section

Articles

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How to Cite

SOLUTIONS TO THE KdV-BURGERS-KURAMOTO EQUATION. (2025). Far East Journal of Applied Mathematics, 118(1), 1-10. https://doi.org/10.17654/0972096025001

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