Evolution equations, invariant surface conditions and functional separation of variables
type: Item
instance of: scholarly article
title: Evolution equations, invariant surface conditions and functional separation of variables
zbMATH Open document ID: 0989.35011
DOI: 10.1016/S0167-2789(99)00224-9
author: Edvige Pucci
author: Giuseppe Saccomandi
published in: Physica D
publication date: 2002-08-08T00:00:00Z
Mathematics Subject Classification ID: 35A25
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 1436184
zbMATH Keywords: reduction methods
zbMATH Keywords: nonclassical and weak point symmetries
MaRDI profile type: Publication
cites work: Q3273107
cites work: Q5581041
cites work: Symmetries and differential equations
cites work: THE CONSTRUCTION OF SPECIAL EXPLICIT SOLUTIONS OF THE BOUNDARY-LAYER EQUATIONS. STEADY FLOWS
cites work: THE CONSTRUCTION OF SPECIAL EXPLICIT SOLUTIONS OF THE BOUNDARY-LAYER EQUATIONS. UNSTEADY FLOWS
cites work: New similarity reductions of the steady-state boundary layer equations
cites work: Nonclassical symmetry reductions of the Boussinesq equation.
cites work: New similarity reductions of the Boussinesq equation
cites work: Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms
cites work: Special Topics in Elastostatics
cites work: Generalized conditional symmetries and exact solutions of non-integrable equations
cites work: On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
cites work: Quasilinear heat equations with first-order sign-invariants and new explicit solutions
cites work: Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
cites work: New explicit solutions of quasilinear heat equations with general first-order sign-invariants
cites work: Maximal sign-invariants of quasilinear parabolic equations with gradient diffusivity
cites work: On invariant sets and explicit solutions of nonlinear evolution equations with quadratic nonlinearities
cites work: Q4379321
cites work: New exact solutions of Burgers’s equation—an extension to the direct method of Clarkson and Kruskal
cites work: New solutions of two-dimensional stationary Euler equations
cites work: Invariant sets of evolution equations
cites work: Effects of a saturating dissipation in Burgers-type equations
cites work: Functional separation of variables for Laplace equations in two dimensions
cites work: Q3994920
cites work: Q5807434
cites work: Q4273954
cites work: Direct reduction and differential constraints
cites work: The construction of special solutions to partial differential equations
cites work: A differential constraints approach to partial invariance
cites work: Q3945260
cites work: Similarity reductions of partial differential equations
cites work: On the weak symmetry groups of partial differential equations
cites work: Quasisolutions as Group‐Invariant Solutions for Partial Differential Equations
cites work: Closed-form solutions of some partial differential equations, via quasi- solutions. I
cites work: Potential symmetries and direct reduction methods of order two
cites work: Reduction and quotient equations for differential equations with symmetries
cites work: Conditional symmetry of a porous medium equation
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description: scientific article; zbMATH DE number 1436184