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两个非线性发展方程的显式精确解 被引量:2

Explicit Exact Solutions of Two Nonlinear Evolution Equations
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摘要 用两种不同的方法分别求出了两个具有重要物理背景的非线性发展方程的一些显式精确解 ,这些解包括孤立波解 ,奇异行波解和三角函数型周期波解 . The explicit exact solutions of two nonlinear evolution equations,which are of important physical significance,are obtained by two different methods respectively. These include the solutions of solitary wave, singular travelling wave and trigononetric periodic wave.
作者 尚亚东
出处 《西安石油学院学报(自然科学版)》 EI 2000年第4期83-85,共3页 Journal of Xi'an Petroleum Institute(Natural Science Edition)
关键词 显式精确解 非线性发展方程 孤立波解 nonlinear equation, combined assumption method, transform, exact solution
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  • 1[1] Rudenko O V, Soluyan S I.Theoretical foundations of nonlinear acoustics[M].Consultants Bureau,New York,1977
  • 2[2]Morrison J A.Wave propagation in rods of voigtmaterial and viscoelastic material with three parameter models[J].Quart Appl.Math,1986,74:16-34
  • 3[3] Varlamom V V.The third-order nonlinear evolution equation governing wav e propagation in relaxing media[J].Studies in Applied Mathematics,1997,99(1):25 -48
  • 4[4] Calogero F.The evolution partial differential equation ut=uxxx+ 3(u2uxx+3u2xu)+3uxu4[J].J.Math.Phys, 1987,28(3):538-5 55
  • 5[5] W X Ma, Fuchssteiner B.Explicit and exact solutions to a Kolmogorov-Petr ovskii-Piskunov equation[J]. Int.J.Non-Linear Mechanics, 1996,31(3):329-33 8
  • 6[6] Hereman W, Nuseir A.Symbolic methods to construct exact solutions of n onlinear partial differential equation[J].Math.Comp in Simula.1997,43:13-27
  • 7[7] Jiefang Zhang.Exact and explicit solitary wave solutions to some non linear equations[J].Inter.J.Theore Phys.1996,35(8):1793-1798

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