Bright soliton interactions in a \((2+1)\)-dimensional fourth-order variable-coefficient nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain

DOI10.1007/s11071-018-4609-zzbMath1439.35451OpenAlexW2898308531MaRDI QIDQ784034

Chunyu Yang, Qin Zhou, Mehmet Ekici, Wen-Jun Liu, Houria Triki, Anjan Biswas, Milivoj R. Belic, Mohammad Mirzazadeh

Publication date: 5 August 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4609-z

zbMATH Keywords

soliton interactionHeisenberg ferromagnetic spin chainsoliton propagationvariable-coefficient nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

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Cites Work

• A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions
• 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
• New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions
• Amplification, reshaping, fission and annihilation of optical solitons in dispersion-decreasing fiber
• Solitons and complexitons solutions of an integrable model of \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain
• Lax pair, infinitely many conservation laws and solitons for a \((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients
• Analytic study on a \((2+1)\)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism
• Heisenberg ferromagnetic spin chain with bilinear and biquadratic interactions in (2 + 1) dimensions
• An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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