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ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS
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摘要 The following partial differential equations are studied: generalized fifth-order KdV equation,water wave equation, Kupershmidt equation, couples KdV equation. The analytical solutions to these problems via using various ansatzes by introducing a second-order ordinary differential equation are found out. The following partial differential equations are studied: generalized fifth-order KdV equation,water wave equation, Kupershmidt equation, couples KdV equation. The analytical solutions to these problems via using various ansatzes by introducing a second-order ordinary differential equation are found out.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第5期614-620,共7页 应用数学和力学(英文版)
关键词 nonlinear physical model ansatz method analytical solution nonlinear physical model ansatz method analytical solution
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