Peter Cornelis Schuur

Asymptotic Analysis of Soliton Problems

An Inverse Scattering Approach

• Broschiertes Buch

Produktbeschreibung

The emergence of solitons of the Korteweg-de Vries equation from arbitrary initial conditions.- Asymptotic estimates of solutions of the Korteweg-de Vries equation on right half lines slowly moving to the left.- Multisoliton phase shifts for the korteweg-de vries equation in the case of a nonzero reflection coefficient.- On the approximation of a real potential in the Zakharov-Shabat system by its reflectionless part.- Decomposition and estimates of solutions of the modified Korteweg-de Vries equation on right half lines slowly moving leftward.- Multisoliton phase shifts for the modified Korteweg-de Vries equation in the case of a nonzero reflection coefficient.- Asymptotic estimates of solutions of the Sine-Gordon equation on right half lines almost linearly moving leftward.- On the approximation of a complex potential in the Zakharov-Shabat system by its reflectionless part.

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Produktdetails

• Lecture Notes in Mathematics 1232
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-17203-1
• 1986.
• Seitenzahl: 192
• Erscheinungstermin: 1. Dezember 1986
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 322g
• ISBN-13: 9783540172031
• ISBN-10: 3540172033
• Artikelnr.: 23883279

Inhaltsangabe

The emergence of solitons of the Korteweg-de Vries equation from arbitrary initial conditions.- Asymptotic estimates of solutions of the Korteweg-de Vries equation on right half lines slowly moving to the left.- Multisoliton phase shifts for the korteweg-de vries equation in the case of a nonzero reflection coefficient.- On the approximation of a real potential in the Zakharov-Shabat system by its reflectionless part.- Decomposition and estimates of solutions of the modified Korteweg-de Vries equation on right half lines slowly moving leftward.- Multisoliton phase shifts for the modified Korteweg-de Vries equation in the case of a nonzero reflection coefficient.- Asymptotic estimates of solutions of the Sine-Gordon equation on right half lines almost linearly moving leftward.- On the approximation of a complex potential in the Zakharov-Shabat system by its reflectionless part.