New optical solitons of Kundu-Eckhaus equation via λ-symmetry

New closed-form exact solutions for the nonlinear Kundu-Eckahus (KE) equation with generalized coefficients are obtained. A travelling wave transformation reduces the KE equation to a second-order ordinary differential equation that is completely integrated by using the λ-symmetry approach. A one-parameter family of singular solutions of the reduced equation provides a unified expression for a class of solutions for the KE equation which contains, as particular cases, most of the exact solutions derived during the last years by using a great variety of powerful integration methods. The general solution of the reduced equation permits to construct a two-parameter family of exact solutions for the KE equation, providing a rich class of new exact solutions that, to the best or our knowledge, have not been reported before.

• Autores: Mendoza, J.; Muriel, C.; Ramírez, J.
• Tipo de recurso: http://purl.org/coar/resource_type/c_816b
• Fecha de publicación: 2020
• Institución: Corporación Universidad de la Costa
• Repositorio: REDICUC - Repositorio CUC
• Idioma: eng
• OAI Identifier: oai:repositorio.cuc.edu.co:11323/6445
• Acceso en línea: https://hdl.handle.net/11323/6445; https://doi.org/10.1016/j.chaos.2020.109786; https://repositorio.cuc.edu.co/
• Palabra clave: λ-symmetry; Solitons; Kundu-Eckhaus equation
• Rights: openAccess
• License: CC0 1.0 Universal