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Soliton dynamics for
generalized $\mathrm{KdV}$ equations in a slowly varying
medium
Claudio Muñoz C. |
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Vol. 4 (2011), No. 4, 573–638
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Abstract |
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We consider the problem of existence and global behavior of solitons for generalized Korteweg–de Vries equations (gKdV) with a slowly varying (in space) perturbation. We prove that such slowly varying media induce on the soliton dynamics large dispersive effects at large times. We also prove that, unlike the unperturbed case, there is no pure-soliton solution to the perturbed gKdV. |
Keywords
generalized KdV equations, soliton dynamics, slowly varying
medium
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Mathematical Subject Classification 2000
Primary: 35Q51, 35Q53
Secondary: 37K10, 37K40
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Milestones
Received: 22 December 2009
Revised: 3 June 2010
Accepted: 13 July 2010
Published: 9 January 2012
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Authors |
| Claudio Muñoz C. | |
| Departamento de Ingeniería
Matemática DIM Universidad de Chile Blanco Encalada 2120, piso 5, Casilla 170-3 Correo 3, Santiago Chile |
Department of Mathematics The University of Chicago 5734 S. University Avenue Chicago, IL 60637 United States |
| http://math.uchicago.edu/~cmunoz | |
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