Boussinesq Solitary–Wave as a Multiple–Time Solution of the Korteweg–de Vries Hierarchy
نویسندگان
چکیده
We study the Boussinesq equation from the point of view of a multipletime 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. 03.40.Kf ; 47.35.+i ; 03.40.Gc Typeset using REVTEX 1
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