Equivalence groupoid of a class of general Burgers-Korteweg-de Vries equations with space-dependent coefficients

zbMath1438.35364arXiv1909.00036MaRDI QIDQ5204919

Stanislav Opanasenko

Publication date: 9 December 2019

Full work available at URL: https://arxiv.org/abs/1909.00036

zbMATH Keywords

equivalence transformationsequivalence groupnormalized classes of differential equationsadmissible transformationsequivalence groupoidBurgers-Korteweg-de Vries equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Analysis on real and complex Lie groups (22E30) Geometric theory, characteristics, transformations in context of PDEs (35A30) General theory of group and pseudogroup actions (22F05)

Related Items (4)

Mapping method of group classification ⋮ Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations ⋮ Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations ⋮ Lie symmetries of two-dimensional shallow water equations with variable bottom topography

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