Analytic study on a \((2+1)\)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism

DOI10.1016/J.CAMWA.2016.03.020zbMath1443.82014OpenAlexW2342762376MaRDI QIDQ2007240

De-Yin Liu, Bo Tian, Yan Jiang, Xiao-Yu Wu, Xi-Yang Xie

Publication date: 12 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.2016.03.020

zbMATH Keywords

nonlinear Schrödinger equationmulti-soliton solutionssoliton interactionHeisenberg ferromagnetic spin chain

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10)

Related Items (7)

Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients ⋮ Arising wave propagation in nonlinear media for the \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain dynamical model ⋮ Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equation ⋮ Lax pair, Darboux transformation and \(N\)th-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation ⋮ Solitons and complexitons solutions of an integrable model of \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain ⋮ Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation ⋮ Bright soliton interactions in a \((2+1)\)-dimensional fourth-order variable-coefficient nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain

Cites Work

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• 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
• Effect of twist inhomogeneity on soliton spin excitations in a helimagnet
• Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability
• Nonlinear excitations in 1D ferromagnetic spin chains with anisotropic interactions
• Heisenberg ferromagnetic spin chain with bilinear and biquadratic interactions in (2 + 1) dimensions
• Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate

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