Solitary wave solutions for nonlinear Schrödinger equation with non-polynomial nonlinearity
Department of Physics, Panjab University, Chandigarh -160014, India
Revised: 3 May 2013
Published online: 11 July 2013
A new kind of non-polynomial nonlinearity is introduced in the nonlinear Schrödinger equation (NLSE) and the conditions are determined for which it admits solitary wave solutions. The study is done for two cases: one in which the nonlinear interaction is of the non-polynomial form and second in which cubic nonlinearity is also included along with the radical nonlinearity. Dark and bright solitary waves solutions are obtained in the respective cases. Further, later case is extended to conditions for which corresponding equation reduces to driven quadratic-cubic NLSE possessing cnoidal solutions with plane wave phase, which reduces to bright soliton for a certain parameter.
© EDP Sciences, Springer-Verlag, 2013