EXPLICIT SOLITARY-WAVE SOLUTIONS TO GENERALIZED POCHHAMMER-CHREE EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 666-674.

EXPLICIT SOLITARY-WAVE SOLUTIONS TO GENERALIZED POCHHAMMER-CHREE EQUATIONS

张卫国¹, 马文秀^2,3

1. Department of Mathematics and Mechanics, Changsha Railway University, Changsha 410075, P. R. China;
2. Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China;
3. FB Mathematik-Informatik, University-GH Paderborn, D-33098 Paderborn, Germany

收稿日期:1997-10-20 修回日期:1999-02-02 出版日期:1999-06-18 发布日期:1999-06-18

EXPLICIT SOLITARY-WAVE SOLUTIONS TO GENERALIZED POCHHAMMER-CHREE EQUATIONS

Zhang Weiguo¹, Ma Wenxiu^2,3

1. Department of Mathematics and Mechanics, Changsha Railway University, Changsha 410075, P. R. China;
2. Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China;
3. FB Mathematik-Informatik, University-GH Paderborn, D-33098 Paderborn, Germany

Received:1997-10-20 Revised:1999-02-02 Online:1999-06-18 Published:1999-06-18

摘要/Abstract

摘要： For the solitary-wave solution u(ξ)=u(x-vt+ξ₀)to the generalized Pochhammer-Chree equation(PC equation) u_tt-u_ttxx+ru_xxt-(a₁u+a₂u²+a₃u³)_xx=0,r,a_i=consts(r≠0),(Ⅰ).

关键词: nonlinear evolution equation, generalized Pochhammer-Chree equation, solitary-wave solution, exact solution

Abstract: For the solitary-wave solution u(ξ)=u(x-vt+ξ₀)to the generalized Pochhammer-Chree equation(PC equation) u_tt-u_ttxx+ru_xxt-(a₁u+a₂u²+a₃u³)_xx=0,r,a_i=consts(r≠0),(Ⅰ).

Key words: nonlinear evolution equation, generalized Pochhammer-Chree equation, solitary-wave solution, exact solution

中图分类号:

O175.2

张卫国;马文秀. EXPLICIT SOLITARY-WAVE SOLUTIONS TO GENERALIZED POCHHAMMER-CHREE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 666-674.

Zhang Weiguo;Ma Wenxiu. EXPLICIT SOLITARY-WAVE SOLUTIONS TO GENERALIZED POCHHAMMER-CHREE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 666-674.

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EXPLICIT SOLITARY-WAVE SOLUTIONS TO GENERALIZED POCHHAMMER-CHREE EQUATIONS

EXPLICIT SOLITARY-WAVE SOLUTIONS TO GENERALIZED POCHHAMMER-CHREE EQUATIONS

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