New optical dromion and domain wall solutions of cascaded system in \((2+1)\)-dimensions via various analytical architectures

DOI10.1007/s40819-021-01235-8zbMath1492.35317OpenAlexW4293233478MaRDI QIDQ2144762

Yanyan Li

Publication date: 14 June 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01235-8

zbMATH Keywords

nonlinear Schrödinger equationcascaded systemnew Jacobi elliptic function expansion methodnew modified sub-ODE methodgeneralized exponential rational function methodnew extended auxiliary equation method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Elliptic functions and integrals (33E05) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Trigonometric solutions to PDEs (35C09)

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Cites Work

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• The first integral method and its application for deriving the exact solutions of a higher-order dispersive cubic-quintic nonlinear Schrödinger equation
• A new Jacobi elliptic function expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines
• Dromions and a boundary value problem for the Davey-Stewartson 1 equation
• The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations
• Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber
• Extended auxiliary equation method and its applications to three generalized NLS equations
• Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to \((1+1)\)-dimensional dispersive long wave equation
• Jacobi elliptic function solutions for two variant Boussinesq equations
• Combined optical solitons with parabolic law nonlinearity and spatio-temporal dispersion
• A variety of exact solutions to (2+1)-dimensional schrödinger equation
• Wave jumps and caustics in the propagation of finite-amplitude water waves
• New Thirring optical solitons with vector-coupled Schrödinger equations in birefringent fibers
• Optical solitons for non-Kerr law nonlinear Schrödinger equation with third and fourth order dispersions