A new generalization of extended tanh-function method for solving nonlinear evolution equations

作者：Zheng XD^*; Chen Y; Li B; Zhang HQ

来源：Communications in Theoretical Physics, 2003, 39(6): 647-652.

• nonlinear evolution equations
• exact solutions
• symbolic computation
• Riccati equation

Making use of a new generalized ansatze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equations. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain other new and more general solutions at the same time. The results include kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions.

• 出版日期2003-6-15
• 单位大连理工大学