New Exact Travelling Wave Solutions to Hirota Equation and (1+1)-Dimensional Dispersive Long Wave Equation
Qi WangDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, ChinaYong ChenDepartment of Physics, Ningbo University, Ningbo 315211, ChinaLi BiaoDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, ChinaHongqing ZhangDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
2004en
ABI
Аннотация
Based on the computerized symbolic Maple, we study two important nonlinear evolution equations, i.e., the Hirota equation and the (1+1)-dimensional dispersive long wave equation by use of a direct and unified algebraic method named the general projective Riccati equation method to find more exact solutions to nonlinear differential equations. The method is more powerful than most of the existing tanh method. New and more general form solutions are obtained. The properties of the new formal solitary wave solutions are shown by some figures.
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