Nth-order smooth positon and breather-positon solutions of a generalized nonlinear Schrödinger equation
Department of Mathematics, Indian Institute of Science, 560012, Bangalore, Karnataka, India
2 Department of Nonlinear Dynamics, Bharathidasan University, 620024, Tiruchirappalli, TamilNadu, India
Accepted: 21 May 2022
Published online: 31 May 2022
In this paper, we investigate smooth positon and breather-positon solutions of a generalized nonlinear Schrödinger (GNLS) equation which contains higher-order nonlinear effects. With the help of generalized Darboux transformation (GDT) method, we construct Nth-order smooth positon solutions of GNLS equation. We study the effect of higher-order nonlinear terms on these solutions. Our investigations show that the positon solutions are highly compressed by higher-order nonlinear effects. The direction of positons also get changed. We also derive Nth-order breather-positon (B-P) solution with the help of GDT. We show that these B-Ps are well compressed by the effect of higher-order nonlinear terms, but the period of B-P solution is not affected as in the breather solution case.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022