1304.7567 (Daisuke A. Takahashi)
Daisuke A. Takahashi
An integrable model possessing inhomogeneous ground states is proposed. The model is a higher-order analog of the nonlinear Schr\"odinger equation. The inverse scattering theory with the elliptic-functional background is formulated, and the N-soliton solution is obtained as a particular solution. We provide the exact bosonic and fermionic quasiparticle eigenstates and reveal various kinds of dynamics such as dark soliton billiards, dislocations, gray solitons, and envelope solitons.
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http://arxiv.org/abs/1304.7567
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