A numerical method for finding soliton solutions in nonlinear differential equations

DOI10.3103/S0278641913020076zbMath1272.65080OpenAlexW2060998766MaRDI QIDQ357897

V. S. Laponin, N. P. Savenkova

Publication date: 15 August 2013

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641913020076

zbMATH Keywords

convergencenumerical examplesnonlinearityiterative methodKorteweg-de Vries equationnonlinear Schrödinger equationssoliton solutionfemtosecond pulse propagation problemssine-Gordon equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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Cites Work

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• Stationary, oscillatory and solitary wave type solution of singular nonlinear schrödinger equations