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Inelastic character of solitons of slowly varying gKdV equations
gKdV equations soliton dynamics slowly varying medium
2011/9/21
Abstract: In this paper we describe the inelastic character of solitons of some slowly varying gKdV equations. We give precise lower bounds, in the energy space, of the defect induced by the potential...
Dynamics of soliton-like solutions for slowly varying, generalized gKdV equations: refraction vs. reflection
gKdV equations integrability theory soliton dynamics slowly varying medium
2010/12/13
In this work we continue our study of the description of the soliton-like solutions of the variable coecients, subcritical gKdV equation ut + (uxx u + a("x)um)x = 0; in Rt Rx; m = 2; 3 ...