Displaying similar documents to “Exact solutions of supersymmetric Burgers equation with Bosonization procedure”

Solitary wave and other solutions for nonlinear heat equations

Anatoly Nikitin, Tetyana Barannyk (2004)

Open Mathematics

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A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary wave solutions is described. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity.

Solitary Waves and Electromagnetic Fields

Donato Fortunato (2008)

Bollettino dell'Unione Matematica Italiana

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Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet; by soliton, we mean a solitary wave which exhibits some form of stability. In this respect solitary waves and solitons have a particle-like behavior and they occur in many questions of mathematical physics, such as superconductivity, phase transition, classical and quantum field theory, non linear optics, (see e.g. [37], [50], [56]). We are not interested in the study of a particular...