Asymptotic Analysis of Soliton Problems

Schuur, Peter Cornelis.

Asymptotic Analysis of Soliton Problems An Inverse Scattering Approach / [electronic resource] : by Peter Cornelis Schuur. - X, 182 p. online resource. - Lecture Notes in Mathematics, 1232 0075-8434 ; . - Lecture Notes in Mathematics, 1232 .

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.

9783540473879

10.1007/BFb0073054 doi


Physics.
Physics.
Theoretical, Mathematical and Computational Physics.

QC19.2-20.85

530.1
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