Soliton solutions of the negative-order nonlinear Schrödinger equation
G. U. UrazboevUrgench State University, Urgench, UzbekistanIroda Ismailovna BaltaevaUrgench State University, Urgench, UzbekistanA. K. BabadjanovaUrgench State University, Urgench, Uzbekistan
Ochiq kirish: yoʻq
ABI
Annotatsiya
We discuss the integration of the Cauchy problem for the negative-order nonlinear Schrödinger equation in the class of rapidly decreasing functions via the inverse scattering problem method. In particular, we obtain the time dependence of scattering data of the Zakharov–Shabat system with the potential that is a solution of the considered problem. We give an explicit representation of the one-soliton solution of the negative-order nonlinear Schrödinger equation based on the obtained results.
Hali tarjima qilinmagan