Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2009-03-12
Nonlinear Sciences
Exactly Solvable and Integrable Systems
9 pages
Scientific paper
Exact solutions of the dispersive and modified equations are expressed in terms of special polynomials associated with rational solutions of the fourth Painleve equation, which arises as generalized scaling reductions of these equations. Generalized solutions that involve an infinite sequence of arbitrary constants are also derived which are analogues of generalized rational solutions for the Korteweg-de Vries, Boussinesq and nonlinear Schrodinger equations
Clarkson Peter A.
Thomas Bryn W. M.
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