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Perturbations of Solitons and Solitary Waves

Yuji Kodama, Mark J. Ablowitz

Source record

Source: Crossref

Published: Jun 1, 1981

DOI: 10.1002/sapm1981643225

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Source abstract

A direct perturbation method is developed to investigate the evolution of solitary waves in the presence of small perturbations. A uniformly valid first order solution is constructed. The method is applied to several nonlinear evolution equations which support solitons or solitary waves. Finally, the method is compared with other approaches in the literature.

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Perturbations of Solitons and Solitary Waves — Mathematical Frontier Network