On Bäcklund transformation for a generalized Burgers equation and solitonic solutions
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Publication:1569593
DOI10.1016/S0375-9601(00)00172-9zbMath0944.37045OpenAlexW1985110029MaRDI QIDQ1569593
Publication date: 3 July 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00172-9
symbolic computationBäcklund transformationsgeneralized Burgers equationtruncated Painlevé expansionKink-type solitonic solutions
Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
- Soliton caustics
- Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations
- Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
- Similarity Solutions of a Generalized Burgers Equation
- The Painlevé property for partial differential equations
- Geometrical and diffusive effects in nonlinear acoustic propagation over long ranges
- Bäcklund transformations for nonlinear parabolic equations: the general results
- A class of Bäcklund transformations for equations of the type u x y=f(u,u x)
