
doi: 10.1007/bf01067273
The author deals with conditional symmetry of partial differential equations --- roughly speaking with the symmetry of certain subset of solutions. Such a symmetry can be used in generalization of invariance principle, reduction and linearization of equations and in the process of obtaining solutions, which cannot be obtained by some classical methods. Conditional symmetry and solutions are investigated for equations of heat transfer, accoustics, Schrödinger, Boussinesq, Korteweg-de Vries, Maxwell, d'Alembert and Dirac.
linearization of equations, Maxwell, NLS equations (nonlinear Schrödinger equations), reduction, d'Alembert, invariance principle, Schrödinger, Invariance and symmetry properties for PDEs on manifolds, KdV equations (Korteweg-de Vries equations), Korteweg-de Vries, heat transfer, accoustics, Boussinesq, Dirac, solutions, PDEs in connection with quantum mechanics
linearization of equations, Maxwell, NLS equations (nonlinear Schrödinger equations), reduction, d'Alembert, invariance principle, Schrödinger, Invariance and symmetry properties for PDEs on manifolds, KdV equations (Korteweg-de Vries equations), Korteweg-de Vries, heat transfer, accoustics, Boussinesq, Dirac, solutions, PDEs in connection with quantum mechanics
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