Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems-Reference-Cited by-同舟云学术

Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems

Published:2015-07 Issue:7 Volume:56 Page:073508
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Kravchenko Vladislav V.¹,Torba Sergii M.¹,Velasco-García Ulises¹

Affiliation:

1. Departamento de Matemáticas, CINVESTAV del IPN, Unidad Querétaro, Libramiento Norponiente 2000, Fracc. Real de Juriquilla, Querétaro, Qro. C.P. 76230, Mexico

Funder

CONACyT, Mexico

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.4927253

Reference50 articles.

1. Solitons and the Inverse Scattering Transform

2. On eigenvalues of some boundary value problems for a polynomial pencil of Sturm–Liouville equation

3. On the Inverse Problem for a Quadratic Pencil of Sturm-Liouville Operators with Periodic Potential

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Characteristics of localized waves of multi-coupled nonlinear Schrödinger equation;Optical and Quantum Electronics;2023-12-14

2. An Approach to Solving Direct and Inverse Scattering Problems for Non-Selfadjoint Schrödinger Operators on a Half-Line;Mathematics;2023-08-16

3. Riemann–Hilbert problem for the Fokas–Lenells equation in the presence of high-order discrete spectrum with non-vanishing boundary conditions;Journal of Mathematical Physics;2023-05-01

4. Recovery of a quadratic analytic pencil;Inverse Problems in Science and Engineering;2020-09-18

5. Long-time behavior for the Cauchy problem of the 3-component Manakov system;Physica Scripta;2020-05-18