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arXiv · 0810.3460

Compactons in PT-symmetric generalized Korteweg-de Vries Equations

Carl M. Bender·Fred Cooper·Avinash Khare·Bogdan Mihaila·Avadh Saxena
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Abstract

In an earlier paper Cooper, Shepard, and Sodano introduced a generalized KdV equation that can exhibit the kinds of compacton solitary waves that were first seen in equations studied by Rosenau and Hyman. This paper considers the PT-symmetric extensions of the equations examined by Cooper, Shepard, and Sodano. From the scaling properties of the PT-symmetric equations a general theorem relating the energy, momentum, and velocity of any solitary-wave solution of the generalized KdV equation is derived, and it is shown that the velocity of the solitons is determined by their amplitude, width, and momentum.

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Carl M. Bender, Fred Cooper, Avinash Khare, Bogdan Mihaila, Avadh Saxena. 2008-10-20. Compactons in PT-symmetric generalized Korteweg-de Vries Equations. https://doi.org/10.1007/s12043-009-0129-1

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