Explicit multisoliton solution to the coupled nonlinear Schrodinger equations

EDP Sciences - Tập 18 Số 4 - Trang 319-322 - 2013
Dong Zhang1, Yuan Tian1, Hao Cai1
1School of Physics and Technology, Wuhan University, Wuhan, Hubei, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Sulem C, Sulem P L. The Nonlinear Schrodinger Equation [M]. New York: Springer-Verlag, 1999.

Kivshar Y S, Agrawal G P. Optical Solitons, from Fibers to Photonic Crystals [M]. San Diego: Academic Press, 2003.

Carles R, Dumas E, Sparber C. Multiphase weakly nonlinear geometric optics for Schrodinger equations [J]. SIAM J Math Anal, 2010, 42: 489–518.

Kevrekidis P G, Frantzeskakis D J, Gonzalez R C. Emergent Nonlinear Phenomena in Bose-Einstein Condensates [M]. Berlin: Springer-Verlag, 2008.

Zhang X F, Hu X H, Liu X X, et al. Vector solitons in two-component Bose-Einstein condensates with tunable interactions and harmonic potential [J]. Phys Rev A, 2009, 79: 0336301–0336306.

Frantzeskakis D J. Dark solitons in atomic Bose-Einstein condensates: from theory to experiments [J]. J Phys A:Math Theor, 2010, 43: 1–68.

Zakharov V E, Shabat A B. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation waves in nonlinear media [J]. Soviet Physics-JEPT, 1972, 34: 62–69.

Faddeev L D, Takhtajan L A. Hamiltonian Methods in the Theory of Solitons [M]. Berlin: Springer-Verlag, 1989.

Ablowitz M J, Kaup D J, Newell A C, et al. The inverse scattering transform-Fourier analysis for nonlinear problems [J]. Stud Appl Math, 1974, 53: 249–315.

Ablowtiz M J, Prinari B, Trubatch A D. Discrete and Continuous Nonlinear Schrodinger Systems [M]. Cambridge: Cambridge University Press, 2004.

Zhou G Q, Huang N N. An N-soliton solution to the DNLS equation based on revised inverse scattering transform [J]. J Phys A: Math Theor, 2007, 40: 13607–13623.