New Exact Traveling Wave Solutions for Compound KdV-Type
Equation with Nonlinear Terms of Any Order

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New Exact Traveling Wave Solutions for Compound KdV-Type Equation with Nonlinear Terms of Any Order

DU Xing-Hua and LIU Cheng-Shi

Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China

Received: 2005-12-21 Revised: 1900-01-01 Published: 2006-11-15

Abstract

Abstract: The compound KdV-type equation with nonlinear terms of any order is reduced to the integral form. Using the complete discrimination system for polynomial, its all possible exact traveling wave solutions are obtained. Among those, a lot of solutions are new.

Key words: compound KdV-type equation, complete discrimination system for polynomial, traveling wave solution, evolution equation

PACS numbers:

02.30.Jr

DU Xing-Hua and LIU Cheng-Shi, Commun. Theor. Phys. 46 (2006) 787.

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New Exact Traveling Wave Solutions for Compound KdV-Type Equation with Nonlinear Terms of Any Order

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