4.5 Article

From Laurent series to exact meromorphic solutions: The Kawahara equation

Journal

PHYSICS LETTERS A
Volume 374, Issue 39, Pages 4023-4029

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2010.08.013

Keywords

Kawahara equation; Modified Kawahara equation; Exact solution; Meromorphic solution; Periodic solution; Elliptic solution

Funding

  1. Federal Target Programm [P1228]

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Meromorphic traveling wave solutions of the Kawahara equation and the modified Kawahara equations are studied. An algorithm for constructing meromorphic solutions in explicit form is described. The classification problem for meromorphic solutions of autonomous nonlinear ordinary differential equations is discussed. (C) 2010 Elsevier B.V. All rights reserved.

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