Perturbation methods in group analysis
DOI10.1007/BF01097534zbMath0759.35003MaRDI QIDQ1174862
V. A. Baikov, Rafail Kav'evich Gazizov, Nail H. Ibragimov
Publication date: 25 June 1992
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
evolution equationsBäcklund transformationsapproximate groups of transformationsapproximate symmetries of equations with small parameterconcept of formal symmetries
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for linear higher-order PDEs (35G10) Other special methods applied to PDEs (35A25) Higher-order parabolic equations (35K25) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (37)
Cites Work
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- Analytic linearization of the Korteweg-de Vries equation
- Group properties of u//(tt)=[f(u)u//x//x]
- Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Non linear representations of Lie groups
- Exact Solutions of Some Nonlinear Evolution Equations
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