Lax pair, Darboux transformation and \(N\)th-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation
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Publication:2203749
DOI10.1016/j.camwa.2018.09.054zbMath1442.35425OpenAlexW2897474003MaRDI QIDQ2203749
Publication date: 2 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.09.054
Darboux transformationLax pair(2+1)-dimensional Heisenberg ferromagnetic spin chain equation\(N\)th-order rogue wave solution
NLS equations (nonlinear Schrödinger equations) (35Q55) Electromagnetic theory (general) (78A25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
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Cites Work
- Unnamed Item
- On the propagation of solitons in ferrites: the inverse scattering approach
- Dark solitonic interaction and conservation laws for a higher-order \((2+1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction
- Darboux transformations for a Lax integrable system in \(2n\) dimensions
- The non-traveling wave solutions and novel fractal soliton for the \((2 + 1)\)-dimensional Broer-Kaup equations with variable coefficients
- The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
- Mixed lump-kink solutions to the KP equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation
- Mixed lump-kink solutions to the BKP equation
- Lump solutions to a \((2+1)\)-dimensional extended KP equation
- Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
- Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
- Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs
- Vector financial rogue waves
- Solitons and complexitons solutions of an integrable model of \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain
- Multiple-lump waves for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation arising from incompressible fluid
- Solitons and quasi-periodic behaviors in an inhomogeneous optical fiber
- Analytic study on a \((2+1)\)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism
- Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
- The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets
- Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- Darboux transformation for a two-component derivative nonlinear Schrödinger equation
- A series of the solutions for the Heisenberg ferromagnetic spin chain equation
- Darboux transformations of integrable couplings and applications
- Analytic rogue wave solutions for a generalized fourth‐order Boussinesq equation in fluid mechanics
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations
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