ANALYTICAL INVESTIGATION OF THE CAUDREY–DODD–GIBBON–KOTERA–SAWADA EQUATION USING SYMBOLIC COMPUTATION-Reference-Cited by-同舟云学术

ANALYTICAL INVESTIGATION OF THE CAUDREY–DODD–GIBBON–KOTERA–SAWADA EQUATION USING SYMBOLIC COMPUTATION

Published:2013-02-05 Issue:06 Volume:27 Page:1250124
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

XU XIAO-GE¹²,MENG XIANG-HUA¹,ZHANG CHUN-YI³,GAO YI-TIAN³⁴

Affiliation:

1. Beijing Information Science and Technology University, Beijing 100192, P. R. China

2. School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

3. Ministry-of-Education, Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

4. State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

Abstract

In this paper, the Caudrey–Dodd–Gibbon–Kotera–Sawada (CDGKS) equation is analytically investigated using the Hirota bilinear method. Based on the bilinear form of the CDGKS equation, its N-soliton solution in explicit form is derived with the aid of symbolic computation. Besides the soliton solutions, several integrable properties such as the Bäcklund transformation, the Lax pair and the nonlinear superposition formula are also derived for the CDGKS equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021797921250124X

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