Initial Value Problem for the Pair Transition Coupled Nonlinear Schrödinger Equations via the Riemann–Hilbert Method-Reference-Cited by-同舟云学术

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Initial Value Problem for the Pair Transition Coupled Nonlinear Schrödinger Equations via the Riemann–Hilbert Method

Published:2020-03-20 Issue:3 Volume:14 Page:
ISSN:1661-8254
Container-title:Complex Analysis and Operator Theory
language:en
Short-container-title:Complex Anal. Oper. Theory

Author:

Peng Wei-Qi,Tian Shou-Fu,Zhang Tian-Tian

Funder

Jiangsu Province Natural Science Foundation of China

National Natural Science Foundation of China

General Financial Grant from the China Postdoctoral Science Foundation

Postgraduate Research & Practice Innovation Program of Jiangsu Province

Postgraduate Research & Practice Innovation Program

Postgraduate Research and Practice of Educational Reform for Graduate students in CUMT

Six Talent Peaks Project in Jiangsu Province

Fundamental Research Fund for the Central Universities

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11785-020-00997-1.pdf

Reference37 articles.

1. Tasgal, R.S., Potasek, M.J.: Soliton solutions to coupled higher-order nonlinear Schrödinger equations. J. Math. Phys. 33, 1208 (1992)

2. Biswas, A., Konar, S.: Quasi-particle theory of optical soliton interaction. Commun. Nonlinear Sci. Numer. Simul. 12, 1202 (2007)

3. Dai, C.Q., Liu, J., Fan, Y., Yu, D.G.: Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrödinger equation with partial nonlocality. Nonlinear Dyn 88(2), 1373–1383 (2017)

4. Wang, D.S., Guo, B.L., Wang, X.L.: Long-time asymptotics of the focusing Kundu–Eckhaus equation with nonzero boundary conditions. J. Differ. Equ. 266(9), 5209–5253 (2019)

5. Zhao, X.J., Guo, R., Hao, H.Q.: $$N$$-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation. Appl. Math. Lett. 75, 114–120 (2018)

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