On the periodic Cauchy problem for a coupled system of third-order nonlinear Schrödinger equations

Author:

Scialom M.ORCID,Bragança L. M.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics

Reference18 articles.

1. Angulo, J.: Stability of cnoidal waves to Hirota–Satsuma systems. Mat. Contemp. 27, 189–223 (2004)

2. Bindu, S.G., Mahalingam, A., Porsezian, K.: Dark soliton solutions of the coupled Hirota equation in nonlinear fiber. Phys. Lett. A 286, 321–331 (2001)

3. Bourgain, J.: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, part I: Schrödinger equation, part II: the KdV equation. GAFA 3(107–156), 209–262 (1993)

4. Bragança, L.M., Scialom, M.: On the Cauchy problem for a coupled system of third-order nonlinear Schrodinger equation. Nonlinear Anal. 73, 2991–3003 (2010)

5. Carvajal, X., Linares, F.: A higher order nonlinear Schrödinger equation with variable coefficients. Differ. Integral Equ. 16, 1111–1130 (2003)

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