Abstract:
Problem of integrability of the system of two nonlinear Schrödinger equation is solved. It is shown that all the integrable variants are exhausted by the cases known before.
Citation:
V. Z. Khukhunashvili, “Integrability of a system of two nonlinear Schrödinger equations”, TMF, 79:2 (1989), 180–184; Theoret. and Math. Phys., 79:2 (1989), 467–469
This publication is cited in the following 4 articles:
Kui Chen, Da-Jun Zhang, “Notes on Canonical Forms of Integrable Vector Nonlinear Schrödinger Systems”, Chinese Phys. Lett., 34:10 (2017), 100202
A Degasperis, S Lombardo, “Multicomponent integrable wave equations: I. Darboux-dressing transformation”, J. Phys. A: Math. Theor., 40:5 (2007), 961
F. Calogero, A. Degasperis, “New Integrable Equations of Nonlinear Schrödinger Type”, Stud Appl Math, 113:1 (2004), 91
G. Ya. Slepyan, S. A. Maksimenko, F. G. Bass, A. Lakhtakia, “Nonlinear electromagnetics in chiral media: Self-action of waves”, Phys. Rev. E, 52:1 (1995), 1049