On Miura transformations among nonlinear partial differential equations

DOI10.1063/1.2234727zbMath1112.35134OpenAlexW2022912133MaRDI QIDQ3442017

Chuanyou Xu, Hongyou Wu, Xi-Fang Cao

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2234727

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Bäcklund transformations with two pseudo-potentials ⋮ Partial differential equations possessing Frobenius integrable decompositions ⋮ Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions ⋮ Bäcklund transformations between the KdV equation and a new nonlinear evolution equation ⋮ On classification of Bäcklund transformations

Cites Work

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• Bäcklund transformation of nonlinear evolution equations
• Bäcklund transformations and their applications
• On Bäcklund transformations for nonlinear partial differential equations
• Pseudospherical Surfaces and Evolution Equations
• A symmetry approach to exactly solvable evolution equations
• Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
• Prolongation structures of nonlinear evolution equations
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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