Quasisolutions as Group‐Invariant Solutions for Partial Differential Equations

DOI10.1002/sapm1995943211zbMath0831.35007OpenAlexW2240091688MaRDI QIDQ4836013

Edvige Pucci, Giuseppe Saccomandi

Publication date: 8 June 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1995943211

zbMATH Keywords

invariant solutionquasisolutionsweak symmetry group

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Compatibility and generalised conditional symmetries ⋮ Involution and symmetry reductions ⋮ Evolution equations, invariant surface conditions and functional separation of variables

Uses Software

• SPDE

Cites Work

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• Group properties of u//(tt)=[f(u)u//x//x]
• On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
• On the weak symmetry groups of partial differential equations
• Closed-form solutions of some partial differential equations, via quasi- solutions. I
• New similarity reductions of the Boussinesq equation
• Group-Invariant Solutions of Differential Equations
• Symmetries of Differential Equations: From Sophus Lie to Computer Algebra
• Similarity reductions of partial differential equations
• Some Closed-Form Solutions of Burgers’ Equation
• Nonclassical symmetry solutions and the methods of Bluman–Cole and Clarkson–Kruskal
• Functional separation of variables for Laplace equations in two dimensions