Uniformly constructing combinatorial solutions, combining a rational function with hyperbolic or trigonometric functions, for the (2+1) dimensional Broer-Kaup-Kupershmidt equation

作者：Liu, Qing^*; Wang, Zi-Hua

来源：Physica Scripta, 2010, 82(6): 065011.

DOI：10.1088/0031-8949/82/06/065011

• STOCHASTIC MKDV EQUATION
• DE VRIES EQUATION
• NONLINEAR EQUATIONS
• EXPANSION METHOD

According to two dependent rational solutions to a generalized Riccati equation together with the equation itself, a rational-exponent solution to a nonlinear partial differential equation can be constructed. By selecting different parameter values in the rational-exponent solution, many families of combinatorial solutions combined with a rational function such as hyperbolic functions or trigonometric functions, are rapidly derived. This method is applied to the Whitham-Broer-Kaup equation and a series of combinatorial solutions are obtained, showing that this method is a more concise and efficient approach and can uniformly construct many types of combined solutions to nonlinear partial differential equations.

• 出版日期2010-12
• 单位上海大学; 丽水学院