2026-03-14T14:24:57Z 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 http://hdl.handle.net/2261/0002005801 https://repository.dl.itc.u-tokyo.ac.jp/records/2005801 eng