Plus-minus algorithm -- A method for derivation of the Bäcklund transformations

DOI10.1016/J.JSC.2009.05.005zbMath1171.37333OpenAlexW2064836449MaRDI QIDQ840720

T. Wietecha, Krzysztof Sokalski

Publication date: 14 September 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2009.05.005

zbMATH Keywords

nonlinear PDEsymbolic computations\(\pm\) algorithmsemi-strong necessary conditionsstrong necessary conditionsthe Bäcklund transformations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Uses Software

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Cites Work

• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• A new hierarchy of Korteweg–de Vries equations
• Existence of Dual Equations by Means of Strong Necessary Conditions - Analysis of Integrability of Partial Differential Nonlinear Equations
• Integrals of nonlinear equations of evolution and solitary waves
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