A MULTIPLE RICCATI EQUATIONS RATIONAL-EXPONENT METHOD AND ITS APPLICATION TO WHITHAM–BROER

A MULTIPLE RICCATI EQUATIONS RATIONAL-EXPONENT METHOD AND ITS APPLICATION TO WHITHAM–BROER–KAUP EQUATION

Published:2013-02-05 Issue:06 Volume:27 Page:1350014
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

LIU QING¹²,WANG ZI-HUA²,JIA DONG-LI³

Affiliation:

1. School of Science, Lishui University, Lishui 323000, P. R. China

2. School of Communication and Information Engineering, Shanghai University, Shanghai 200072, P. R. China

3. School of Information and Electronic Engineering, Hebei University of Engineering, Handan 056002, P. R. China

Abstract

According to two dependent solutions to a generalized Riccati equation together with the equation itself, a multiple Riccati equations rational-exponent method is proposed and applied to Whitham–Broer–Kaup equation. It shows that this method is a more concise and efficient approach and can uniformly derive many types of combined solutions to nonlinear partial differential equations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979213500148

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