2007Journal of Sichuan Normal UniversityRequires access

Explicit Solutions to the {1+1}-dimensional KdV Equations with Variable Coefficients

PU Zhi-lin

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Abstract

In this paper,by using the homogenous balance principle and F-expansion method,the periodic wave solutions expressed by Jacobi elliptic fuctions to the KdV equations with variable coefficients are derived,and in the limit case,the solitary wave solutions and other type solutions for KdV equations with variable coefficients equations are obtained as well.

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What this paper is about

In this paper,by using the homogenous balance principle and F-expansion method,the periodic wave solutions expressed by Jacobi elliptic fuctions to the KdV equations with variable coefficients are derived,and in the limit case,the solitary wave solutions and other type solutions for KdV equations with variable coefficients equations are obtained as well.

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Available abstract

In this paper,by using the homogenous balance principle and F-expansion method,the periodic wave solutions expressed by Jacobi elliptic fuctions to the KdV equations with variable coefficients are derived,and in the limit case,the solitary wave solutions and other type solutions for KdV equations with variable coefficients equations are obtained as well.

Key concepts: Korteweg–de Vries equation, Variable (mathematics), Mathematics, Limit (mathematics), Mathematical analysis, Type (biology), Cnoidal wave, Elliptic function

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