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In this paper, we investigate the soliton and rogue-wave solutions for a (2 + 1)-dimensional fourth-order nonlinear Schrödinger equation, which describes the spin dynamics of a Heisenberg ferromagnetic spin chain with the bilinear and biquadratic interactions. For such an equation, there exists a gauge transformation which converts the nonzero potential Lax pair into some constant-coefficient differential...
In this letter, a generalized nonlinear Schrödinger–Maxwell–Bloch system is investigated, which can be used to describe the solitons in optical fibers. By virtue of the generalized Darboux transformation, higher-order rogue-wave solutions are derived. Rogue-wave propagation and interaction are analyzed: (1) Complex envelope of the field, q, appears as a bright rogue wave, the measure of the polarization...
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