TRAVELING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR DISPERSIVE EQUATIONS-中国期刊网

摘要 Themethodofthephaseplaneisemploiedtoinvestigatethesolitaryandperiodictravelingwavesforaclassofnonlineardispersivepartialdifferentialequations.Byusingthebifurcationtheoryofdynamicalsystemstodoqualitativeanalysis,allpossiblephaseportraitsintheparametricspaceforthetravelingwavesystemsareobtained.Itcanbeshownthattheexistenceofasingularstraightlineinthetravelingwavesystemisthereasonwhysmoothsolitarywavesolutionsconvergetosolitarycuspwavesolutionwhenparametersarevaried.Thedifferentparameterconditionsfortheexistenceofsolitaryandperiodicwavesolutionsofdifferentkindsarerigorouslydetermined.

1. Traveling Wave Solutions for CH2 Equations.基础数学,2015-02.
2张玉峰;张鸿庆. TWO TYPES OF TRAVELING WAVE SOLUTIONS TO BURGERS-KdV EQUATIONS.力学,2000-10.
3Ji-bin Li;Tian-lan He. Exact Traveling Wave Solutions and Bifurcations in a Nonlinear Elastic Rod Equation.基础数学,2010-02.
4房少梅;郭昌洪;郭柏灵. EXACT TRAVELING WAVE SOLUTIONS OF MODIFIED ZAKHAROV EQUATIONS FOR PLASMAS WITH A QUANTUM CORRECTION＊.基础数学,2012-03.
5Yancong Xu;Tianzhu Lan;Yongli Liu. TRAVELING WAVE SOLUTIONS AND THEIR STABILITY OF NONLINEAR SCHRDINGER EQUATION WITH WEAK DISSIPATION.基础数学,2016-02.
6Yi ZHOU;Wei HAN. Sharpness on the Lower Bound of the Lifespan of Solutions to Nonlinear Wave Equations.基础数学,2011-04.
7FanEngui. TRAVELLING WAVE SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS BY USING SYMBOLIC COMPUTATION.基础数学,2001-02.
8Heng Wang;Shuhua Zheng. NEW EXACT TRAVELLING WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS USING THE DYNAMICAL SYSTEM METHOD.基础数学,2015-04.
9S.KATAYAMA. GLOBAL EXISTENCE FOR A CLASS OF SYSTEMS OF NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS.基础数学,2004-04.
10Chien-Hong Cho. A Finite Difference Scheme for Blow-Up Solutions of Nonlinear Wave Equations.基础数学,2010-04.

TRAVELING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR DISPERSIVE EQUATIONS

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TRAVELING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR DISPERSIVE EQUATIONS

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