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

DOI10.1016/j.aop.2015.10.001zbMath1360.82057OpenAlexW2116067309MaRDI QIDQ528268

Bing-Qing Mao, Jin-Wei Yang, Yi-Tian Gao, Chuan-Qi Su, Qi-Min Wang, Zhe Gao

Publication date: 12 May 2017

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2015.10.001

zbMATH Keywords

conservation lawmodulation instabilityHeisenberg ferromagnetic spin chaindark solitonhigher-order \((2+1)\)-dimensional nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

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Cites Work

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• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
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• Integrable Multi-Component Hybrid Nonlinear Schrödinger Equations
• Envelope Solitons versus Solitons
• Finite Dimensional Hamiltonians and Almost-Periodic Solutions for 2+1 Dimensional Three-Wave Equations
• A generalized Davydov soliton model for energy transfer in alpha helical proteins

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