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math-ph2001
Exact self-similar and two-phase solutions of systems of semilinear parabolic equations
K. A. Volosov, V. G. Danilov, A. M. Loginov
Exact single-wave and two-wave solutions of systems of equations of Newell-Whitehead type are presented. The Painleve test and calculations in the spirit of Hirota are used to cons…
math-ph2001
Invariant Properties of the Ansatz of the Hirota Method for Quasilinear Parabolic equations
K. A. Volosov
We propose a new method based on the invariant properties of the ansatz of the Hirota method which have been discovered recently. This method allows one to construct new solutions…