Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations

Details Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations

2004-07-21

arxiv.org/abs/math-ph/0407045v1

Rept.Math.Phys. 54 (2004) 261-271

Physics

Mathematical Physics

13 pages, LaTeX2e

Scientific paper

10.1016/S0034-4877(04)80018-1

Direct algebraic method of obtaining exact solutions to nonlinear PDE's is
applied to certain set of nonlinear nonlocal evolutionary equations, including
nonlinear telegraph equation, hyperbolic generalization of Burgers equation and
some spatially nonlocal hydrodynamic-type model. Special attention is paid to
the construction of the kink-like and soliton-like solutions.

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