Nonlocal symmetry and Bäcklund transformation of a negative-order Korteweg-de Vries equation
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Publication:2008331
DOI10.1155/2019/5479695zbMath1434.35156OpenAlexW2982395998MaRDI QIDQ2008331
Jinxi Fei, Weiping Cao, Zheng-Yi Ma
Publication date: 25 November 2019
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/5479695
KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie groups to the sciences; explicit representations (22E70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (2)
Symmetry reductions and exact solutions of two new generalized negative KdV type equations ⋮ Wave solutions to an integrable negative order KdV equation
Cites Work
- Negative-order KdV and negative-order KP equations: multiple soliton solutions
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Residual symmetries and soliton-cnoidal wave interaction solutions for the negative-order Korteweg-de Vries equation
- Negative-order modified KdV equations: multiple soliton and multiple singular soliton solutions
- Negative powers of Olver recursion operators
- Mixed hierarchy of soliton equations
- Evolution equations possessing infinitely many symmetries
- Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
- Negative Kadomtsev–Petviashvili Hierarchy
- Category of nonlinear evolution equations, algebraic structure, and r-matrix
- A new integrable equation combining the modified KdV equation with the negative-order modified KdV equation: multiple soliton solutions and a variety of solitonic solutions
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