Analytical study of two nonlinear Schrödinger equations via optical soliton solutions

DOI10.1142/S021797922150288XzbMath1492.81052OpenAlexW3206463415MaRDI QIDQ5070731

Muhammad Imran Qureshi, Asim Zafar, Muhammad Raheel, Asfand Fahad, Ahmet Bekir

Publication date: 14 April 2022

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021797922150288x

zbMATH Keywords

solitary wave solutionsHeisenberg ferromagnetic spin chainscompressional dispersive Alfvén

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) Waves in compressible fluids (76N30)

Cites Work

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• The extended \(G'/G\)-expansion method and travelling wave solutions of nonlinear evolution equations
• A study on linear and nonlinear Schrödinger equations by the variational iteration method
• Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics
• Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation
• ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics

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