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Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations

Alex Veksler·yair zarmi
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Abstract

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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Alex Veksler, yair zarmi. 2003-11-25. Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations. https://arxiv.org/abs/nlin/0311053

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