https://doi.org/10.1140/epjp/i2019-12439-y
Regular Article
The pair-transition-coupled nonlinear Schrödinger equation: The Riemann-Hilbert problem and N-soliton solutions
Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China
* e-mail: xiubinwang@163.com
Received:
24
October
2018
Accepted:
30
November
2018
Published online:
27
February
2019
In this work, the pair-transition-coupled nonlinear Schrödinger (pt-CNLS) equation, which can also be used to describe the propagation of orthogonally polarized optical waves in an isotropic medium, is under investigation. The spectral analysis with 4×4 Lax pairs is performed for the integrable pt-CNLS equations, from which a kind of Riemann-Hilbert problem is strictly formulated. Moreover, N-soliton solutions to the pt-CNLS equation are constructed by using a specific Riemann-Hilbert formulation.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
