Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations

Details Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations

2003-11-25

arxiv.org/abs/nlin/0311053v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

Obstacles to integrability in perturbed evolution equations are overcome by allowing higher-order terms in the expansion of the solution to depend explicitly on time and position. With a special expansion algorithm, obstacles vanish explicitly for single-waves zero-order approximations, and exponentially, outside the wave interaction-region, for multiple-waves. Simple expressions for their asymptotic effects on the solution are obtained.

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