Exact Solutions and Rogue Waves for the Derivative Nonlinear SchrÖdinger Equation
Changfu Liu *
School of Mathematics and Engineering, Wenshan University, Wenshan, 663000, China.
Jinmei Liu
School of Mathematics and Engineering, Wenshan University, Wenshan, 663000, China.
Ping Zhou
School of Mathematics and Engineering, Wenshan University, Wenshan, 663000, China.
*Author to whom correspondence should be addressed.
Abstract
Exact solutions which contain periodic solutions, soliton solutions and rogue wave solutions for two the modied derivative nonlinear Schrodinger equations, are obtained by means of solutions of a known derivative nonlinear SchrÖdinger equation. Two solutions' images are displayed, which can help one understand their dynamical behavior better. These results enrich the solutions' structural diversity for the modied derivative nonlinear schrÖdinger equations.
Keywords: The derivative nonlinear SchrÖdinger equation, The similarity transformation, Exact solution, Rogue wave solution