Exact Solutions with Bounded Periodic Amplitude for Kundu Equation and Derivative Nonlinear Schrödinger Equation
Changfu Liu *
School of Mathematics, Wenshan University, Wenshan, Yunnan, 663000, China.
Jinmei Liu
School of Mathematics, Wenshan University, Wenshan, Yunnan, 663000, China.
Ping Zhou
School of Mathematics, Wenshan University, Wenshan, Yunnan, 663000, China.
Min Chen
School of Mathematics, Wenshan University, Wenshan, Yunnan, 663000, China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, exact solutions with bounded periodic amplitude to Kundu equation are obtained through transformation, direct integration method and trial function method when the parameters satisfy certain conditions. By the way, exact solutions for the derivative nonlinear Schrödinger equation are also obtained. Two solutions' images are displayed. These results greatly enrich the solutions' structural diversity for these equations.
Keywords: Kundu equation, derivative nonlinear Schrödinger equation, transformation and direct integration method, trial function method, exact solution.