Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation
DOI10.1016/j.chaos.2022.112399zbMath1506.35193OpenAlexW4287958181WikidataQ113878260 ScholiaQ113878260MaRDI QIDQ2677396
Xi-Hu Wu, Xin Yu, Liu-Qing Li, Cui-Cui Ding, Yi-Tian Gao
Publication date: 13 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112399
Heisenberg spin chainbound-state solitondegenerate solitonLakshmanan-Porsezian-Daniel equationmodified generalized Darboux transformation
Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
- Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
- Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation
- Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations
- Generalized Darboux transformation and localized waves in coupled Hirota equations
- \(N\)-soliton solution of a combined pKP-BKP equation
- Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix
- Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
- Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions
- Quantitative analysis on the bifurcations and exact travelling wave solutions of a generalized fourth-order dispersive nonlinear Schrödinger equation in Heisenberg spin chain
- Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma
- Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber
- Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain
- Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach
- Localized waves and interactions for the high dimensional nonlinear evolution equations
- Higher-order semirational solutions and nonlinear wave interactions for a derivative nonlinear Schrödinger equation
- Some semirational solutions and their interactions on the zero-intensity background for the coupled nonlinear Schrödinger equations
- Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
- 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
- Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber
- Mixed-type soliton solutions for the \(N\)-coupled higher-order nonlinear Schrödinger equation in optical fibers
- Generalized Darboux transformation and \(N\)th order rogue wave solution of a general coupled nonlinear Schrödinger equations
- Exact solutions for some time‐fractional evolution equations using Lie group theory
- Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre
- Hybrid solutions of a (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation in an incompressible fluid
- Generalized Darboux transformation and rogue wave solutions for the higher-order dispersive nonlinear Schrödinger equation
- Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background
- Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation
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