Boussinesq solitary-wave as a multiple-time solution of the Korteweg-de Vries hierarchy
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AIP Publishing
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Abstract
We study the Boussinesq equation from the point of view of a multiple-time reductive perturbation method. As a consequence of the elimination of the secular producing terms through the use of the Korteweg-de Vries hierarchy, we show that the solitary-wave of the Boussinesq equation is a solitary-wave satisfying simultaneously all equations of the Korteweg-de Vries hierarchy, each one in an appropriate slow time variable. © 1995 American Institute of Physics.
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English
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Journal of Mathematical Physics, v. 36, n. 12, p. 6822-6828, 1995.
