The Inverse Scattering Problem for the Perturbed String Equation and Its Application to Integration of the Two-dimensional Generalization from Korteweg-de Vries Equation-Reference-Cited by-同舟云学术

The Inverse Scattering Problem for the Perturbed String Equation and Its Application to Integration of the Two-dimensional Generalization from Korteweg-de Vries Equation

Published:2020-06-25 Issue:4 Volume:45 Page:807-831
ISSN:0251-4184
Container-title:Acta Mathematica Vietnamica
language:en
Short-container-title:Acta Math Vietnam

Author:

Vu Pham Loi

Funder

National Foundation for Science and Technology Development

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40306-020-00365-3.pdf

Reference13 articles.

1. Ablowitz, M.J., Clarson, P.A.: Solitons, Nonlinear Evolution Equations and Inverse Scattering, Lecture note series, 149. Cambridge university press, Cambridge (1991)

2. Fokas, A.S., Ablowitz, M.J.: The Inverse Scattering Transform for Multidimensional (2 + 1) Problems, 137–183. In: Wolf, K.B. (ed.) Nonlinear Phenomena, Lecture Notes in Physics, Vol. 189. Springer, Berlin (1983)

3. Fokas, A.S., Ablowitz, M.J.: Forced nonlinear evolution equations and the inverse scattering transform. Stud. Appl. Math. 80, 253–272 (1989)

4. Fokas, A.S., Zakharov, V.E. (eds.): Important Developments in Soliton Theory. Springer, Berlin (1993)

5. Fokas, A.S.: Integrable nonlinear evolution equations on the half-line. Comm. Math. Phys. 230, 1–39 (2002)

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