N -soliton solutions for the nonlocal two-wave interaction system via the Riemann–Hilbert method

作者: Si-Qi Xu , Xian-Guo Geng

DOI: 10.1088/1674-1056/27/12/120202

关键词: Riemann hypothesisMathematical physicsSolitonPhysics

摘要:

参考文章(16)
Lihua Wu, Guoliang He, Xianguo Geng, The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws Applied Mathematics and Computation. ,vol. 220, pp. 20- 37 ,(2013) , 10.1016/J.AMC.2013.05.050
D. J. Kaup, B. A. Malomed, Soliton trapping and daughter waves in the Manakov model. Physical Review A. ,vol. 48, pp. 599- 604 ,(1993) , 10.1103/PHYSREVA.48.599
Lihua Wu, Xianguo Geng, Guoliang He, Algebro-geometric solutions to the Manakov hierarchy Applicable Analysis. ,vol. 95, pp. 769- 800 ,(2016) , 10.1080/00036811.2015.1031220
R Radhakrishnan, M Lakshmanan, Bright and dark soliton solutions to coupled nonlinear Schrodinger equations Journal of Physics A. ,vol. 28, pp. 2683- 2692 ,(1995) , 10.1088/0305-4470/28/9/025
R Radhakrishnan, K Aravinthan, A dark-bright optical soliton solution to the coupled nonlinear Schrödinger equation Journal of Physics A. ,vol. 40, pp. 13023- 13030 ,(2007) , 10.1088/1751-8113/40/43/011
Juan Pablo Borgna, Antonio Degasperis, Mariano Fernando De Leo, Diego Rial, Integrability of nonlinear wave equations and solvability of their initial value problem Journal of Mathematical Physics. ,vol. 53, pp. 043701- 043701 ,(2012) , 10.1063/1.3699358
C. Menyuk, Nonlinear pulse propagation in birefringent optical fibers IEEE Journal of Quantum Electronics. ,vol. 23, pp. 174- 176 ,(1987) , 10.1109/JQE.1987.1073308
Thambithurai Kanna, Eduard N. Tsoy, Nail Akhmediev, On the solution of multicomponent nonlinear Schrödinger equations Physics Letters A. ,vol. 330, pp. 224- 229 ,(2004) , 10.1016/J.PHYSLETA.2004.08.010
Antonio Degasperis, Sara Lombardo, Rational solitons of wave resonant-interaction models. Physical Review E. ,vol. 88, pp. 052914- ,(2013) , 10.1103/PHYSREVE.88.052914
Valery S. Shchesnovich, Jianke Yang, General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations Journal of Mathematical Physics. ,vol. 44, pp. 4604- 4639 ,(2003) , 10.1063/1.1605821