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Yu, Jing; He, Jingsong; Han, Jingwei

Two kinds of new integrable decompositions of the Gerdjikov-Ivanov equation. (English) Zbl 1274.35366

J. Math. Phys. 53, No. 3, 033510, 13 p. (2012).
Summary: The Gerdjikov-Ivanov(GI) equation can be given from the first non-trivial flow of the generalized Kaup-Newell equations under a reduction condition. In this paper, we perform binary nonlinearization for the generalized Kaup-Newell equations under two symmetry constraints. By imposing the reduction condition on this nonlinearization, we obtain two kinds of new integrable decompositions of the GI equation.{
©2012 American Institute of Physics}

Cited in 5 Documents

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
81T10 Model quantum field theories
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