作者: Yinghui He
DOI: 10.1155/2014/148132
关键词: Korteweg–de Vries equation 、 Trigonometric functions 、 Rational function 、 Jacobi elliptic functions 、 Mathematics 、 Wave equation 、 Cnoidal wave 、 Mathematical analysis 、 Infinitesimal 、 Hyperbolic 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.