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EXPLICIT EXACT SOLUTIONS FOR THE GENERALIZED COMBINED KdV AND MKdV EQUATION
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作者 Yan Zhenya Zhang HongqingDept.ofAppl.Math.,DalianUniv.ofTechnology,Dalian116024 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第2期156-160,共5页
With the aid of Mathematica and Wu elimination method,via using a new generalized ansatz and well known Riccati equation,thirty two families of explicit and exact solutions for the generalized combined KdV and mKdV... With the aid of Mathematica and Wu elimination method,via using a new generalized ansatz and well known Riccati equation,thirty two families of explicit and exact solutions for the generalized combined KdV and mKdV equation are obtained,which contain new solitary wave solutions and periodic wave solutions.This approach can also be applied to other nonlinear evolution equations. 展开更多
关键词 combined kdv and mkdv equation solitary wave solution periodic wave solution.
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Solution of nonlinear wave equation of elastic rod 被引量:1
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作者 郭鹏 张磊 +1 位作者 吕克璞 段文山 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第1期61-66,共6页
The longitudinal oscillation of a nonlinear elastic rod with lateral inertia are studied. A nonlinear wave equation is derived. The equation is solved by the method of full approximation.
关键词 nonlinear elastic rod method of full approximation kdv equation combined kdv and mkdv equation
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