Existence of Dual Equations by Means of Strong Necessary Conditions - Analysis of Integrability of Partial Differential Nonlinear Equations

DOI10.2991/jnmp.2005.12.1.5zbMath1067.35092OpenAlexW2123040912MaRDI QIDQ4673230

T. Wietecha, Danuta Sokalska, Krzysztof Sokalski

Publication date: 29 April 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2005.12.1.5

zbMATH Keywords

Bäcklund transformationsdual equationsBogomolny equationssemi-strong necessary conditionsstrong necessary conditions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Plus-minus algorithm -- A method for derivation of the Bäcklund transformations ⋮ The first-order Euler-Lagrange equations and some of their uses ⋮ Bogomolny equations in certain generalized baby BPS Skyrme models ⋮ The Bogomolny Decomposition for Systems of Two Generalized Nonlinear Partial Differential Equations of the Second Order ⋮ Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications

Cites Work

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• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Symmetries and Integrability
• Bäcklund transformations and the equation z x y=F (x,y,z)
• Solitonlike solutions of the elliptic sine–cosine equation by means of harmonic functions
• The existence of Bogomolny decomposition by means of strong necessary conditions
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• An algebraic method to construct the Darboux matrix

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