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

Author

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  • Mendoza, J.
  • Muriel, C.
  • Ramírez, J.

Abstract

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.

Suggested Citation

  • Mendoza, J. & Muriel, C. & Ramírez, J., 2020. "New optical solitons of Kundu-Eckhaus equation via λ-symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    • Handle: RePEc:eee:chsofr:v:136:y:2020:i:c:s0960077920301880
    DOI: 10.1016/j.chaos.2020.109786
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