Construction of particular solutions to nonlinear equations of Mathematical Physics by using matrix algebraic equation

Details Construction of particular solutions to nonlinear equations of Mathematical Physics by using matrix algebraic equation Construction of particular solutions to nonlinear equations of Mathematical Physics by using matrix algebraic equation

2002-03-13

arxiv.org/abs/nlin/0203021v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages

Scientific paper

The paper develops the method for construction of the families of particular
solutions to the nonlinear Partial Differential Equations (PDE) without
relation to the complete integrability. Method is based on the specific link
between algebraic matrix equations and PDE. Example of (2+2)-dimensional
generalization of Burgers equation is given.

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