Abstract
We investigate generalized nonlocal coupled nonlinear Schorödinger equation containing Self-Phase Modulation, Cross-Phase Modulation and four wave mixing involving nonlocal interaction. By means of Darboux transformation we obtained a family of exact breathers and solitons including the Peregrine soliton, Kuznetsov-Ma breather, Akhmediev breather along with all kinds of soliton-soliton and breather-soltion interactions. We analyze and emphasize the impact of the four-wave mixing on the nature and interaction of the solutions. We found that the presence of four wave mixing converts a two-soliton solution into an Akhmediev breather. In particular, the inclusion of four wave mixing results in the generation of a new solutions which is spatially and temporally periodic called “Soliton (Breather) lattice”.
Original language | English |
---|---|
Pages (from-to) | 387-395 |
Number of pages | 9 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 59 |
DOIs | |
Publication status | Published - Jun 2018 |
Keywords
- Breathers
- Coupled nonlinear Schrödinger system
- Darboux transformation
- Four-wave mixing
- Lax pair
- Soliton
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics