Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity
DOI10.1016/j.chaos.2022.112433zbMath1506.35211arXiv2207.12095OpenAlexW4288421115WikidataQ113878255 ScholiaQ113878255MaRDI QIDQ2677419
Publication date: 13 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.12095
higher order nonlinear Schrödinger equationpositon solutionsgeneralized Darboux transformation method
NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
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Cites Work
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- New analytical positon, negaton and complexiton solutions of a coupled KdV-mKdV system
- New positon, negaton and complexiton solutions for the Bogoyavlensky-Konoplechenko equation
- Nonsingular positon and complexiton solutions for the coupled KdV system
- Multiple pole solutions of the nonlinear Schrödinger equation
- Positons: Slowly decreasing analogues of solitons
- Regularized degenerate multi-solitons
- Dissipative solitons.
- Higher-order integrable evolution equation and its soliton solutions
- Certain electromagnetic waves in a ferromagnetic film
- Symbolic computation on a \((2+1)\)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves
- Comment on ``Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized \((2+1)\)-dimensional dispersive long-wave system
- Soliton molecules and novel smooth positons for the complex modified KdV equation
- Lax pair, Darboux transformation and \(N\)th-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation
- The \(n\)-fold Darboux transformation for the Kundu-Eckhaus equation and dynamics of the smooth positon solutions
- Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber
- Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system
- Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves
- The \(n\)th-order degenerate breather solution for the Kundu-Eckhaus equation
- Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers
- Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation
- Singularity structure analysis of inhomogeneous Hirota and higher order nonlinear Schrödinger equations
- Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation
- Interaction properties between rogue wave and breathers to the Manakov system arising from stationary self-focusing electromagnetic systems
- Time-delay and reality conditions for complex solitons
- Positon solutions of the sine-Gordon equation
- Negaton and positon solutions of the KdV and mKdV hierarchy
- Degenerate multi-solitons in the sine-Gordon equation
- Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation
- Three Sources and Three Component Parts of the Concept of Dissipative Solitons
- Exact envelope-soliton solutions of a nonlinear wave equation
- The dynamics of the smooth positon and b-positon solutions for the NLS-MB equations
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