A further extended tanh-function method and new soliton-like solutions to the integrable Broer–Kaup (BK) equations in (2+1) dimensional spaces

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摘要

Based on an extended tanh-function method, a further extended tanh-function method is suggested to obtain multiple exact solutions for nonlinear partial differential equations, which including soliton-like solutions, solitary waves and trigonometric function solutions. The validity and reliability of the method is tested by its application to the integrable Broer–Kaup equations in (2+1) dimensional spaces. More new explicit exact solutions are found.

论文关键词:The integrable Broer–Kaup (BK) equations in (2 + 1) dimensional spaces,Further extended tanh-function method,Soliton-like solutions,Exact solutions

论文评审过程:Available online 19 February 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(02)00793-2