New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple -Expansion Methods

作者: Yinghui He

DOI: 10.1155/2014/148132

关键词: Korteweg–de Vries equationTrigonometric functionsRational functionJacobi elliptic functionsMathematicsWave equationCnoidal waveMathematical analysisInfinitesimalHyperbolic function

摘要: The -expansion method is a powerful mathematical tool for solving nonlinear wave equations in physics and engineering problems. In our work, exact traveling solutions of generalized KdV type equation neglecting the highest order infinitesimal term, which an important water model, are discussed by its variants. As result, many new involving parameters, expressed Jacobi elliptic functions, hyperbolic trigonometric function, rational obtained. These methods more effective simple than other number can be obtained at same time. related results enriched.

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