2023-02-04T03:03:18Z
https://repository.dl.itc.u-tokyo.ac.jp/oai
oai:repository.dl.itc.u-tokyo.ac.jp:02005801
2022-12-19T05:40:07Z
312:6865:1655967292942:1666682650014
9:504:6868:1655967130305:1666682516781
Nonconservative Reflectionless Inverse Scattering and Soliton Solutions of an Associated Nonlinear Evolution System
Kamimura, Yutaka
Inverse scattering theory
reflectionless potential
energy dependent Schr\"odinger equation
nonlinear evolution system
soliton solution
Boussinesq system
A nonconservative, reflectionless inverse scattering\break problem is discussed on an energy dependent Schr\"odinger equation. A scattering transform from the potential of the equation to the reflectionless scattering data is completely characterized by a function induced from a Gelfand-Levitan-Marchenko equation, with an expression of the inverse scattering transform in terms of the function. Based upon the inverse scattering theory, we establish an inverse scattering method by which $N$-soliton solutions of a nonlinear evolution system (Boussinesq system) are constructed.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2021-10-05
application/pdf
Journal of Mathematical Sciences The University of Tokyo
4
28
651
712
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/2005801/files/jms280405.pdf
eng