Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications

DOI10.1016/j.cam.2009.02.075zbMath1180.35022OpenAlexW2132218287MaRDI QIDQ1044666

Łukasz T. Stȩpień

Publication date: 18 December 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.075

zbMATH Keywords

exact solutionanalytic solutionclassical Heisenberg modelBorn-Infeld-like equationnonlinear \(O(3)\sigma \) model

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

On Some Solutions of Certain Versions of “Sigma” Model and Some Skyrme-Like Models

Cites Work

• Self-dual solutions for SU(2) and SU(3) gauge fields on Euclidean space
• A geometric algorithm to construct new solitons in the \(O(3)\) nonlinear sigma model
• New explicit exact solutions of the Born-Infeld equation
• Dynamical systems with SO(4) and SO(3,1) symmetry
• The existence of Bogomolny decomposition by means of strong necessary conditions
• A Nonlinear Transformation of the Dispersive Long Wave Equations in (2+1) Dimensions and its Applications
• Existence of Dual Equations by Means of Strong Necessary Conditions - Analysis of Integrability of Partial Differential Nonlinear Equations
• Topological Solitons
• Soliton stability in the O(3) sigma -model in (2+1) dimensions
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