Affiliation:
1. School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
Abstract
Abstract
Starting from a 3×3 spectral problem, a Darboux transformation (DT) method for coupled Schrödinger (CNLS) equation is constructed, which is more complex than 2×2 spectral problems. A scheme of soliton solutions of an integrable CNLS system is realised by using DT. Then, we obtain the breather solutions for the integrable CNLS system. The method is also appropriate for more non-linear soliton equations in physics and mathematics.
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics
Reference35 articles.
1. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, New York 1991.
2. B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, et al., Nat. Phys. 6, 790 (2010).
3. M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, et al. Phys. Rev. Lett. 107, 253901 (2011).
4. G. P. Agrawal, Applications of Nonlinear Fiber, Academic, San Diego 2001.
5. S. K. Adhikari, Phys. Rev. A. 63, 043611 (2001).
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