Weierstrass and Jacobi elliptic, bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation

Aly R. Seadawy, Syed T.R. Rizvi and Sarfaraz Ahmed

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: This paper exposes Weierstrass elliptic, Jacobi elliptic, Bell type, kink type, bright soliton, periodic and some other soliton solutions for (1 + 1)-dimensional dissipative nonlinear Schrödinger equation (d-NSLE) by applying newly developed sub-ODE method. The d-NLSE is applied to model the dissipative self-modulating monochromatic waves with dispersion. The lump solutions, lump with one kink, lump periodic, interaction with kink, manifold periodic, Ma breather, Kuznetsov-Ma breather and rogue wave solutions for governing model are derived via symbolic computation with the appropriate transformation function technique.

Keywords: Dissipative nonlinear Schrödinger equation; Sub-ODE method; Ansatz technique; Rogue wave (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004684

DOI: 10.1016/j.chaos.2022.112258

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