Abstract
For short pulses with wide spectrum, the Nonlinear Schrodinger Equation (NLS) has to be supplemented with additional terms that describe higher-order effects. If the coefficients are related in a special way, analytic solutions can be found, as, e.g., for the Hirota Equation and the Sasa-Satsuma equation (SSE). We concentrate on the SSE, where soliton solutions, and, more recently, heteroclinic connections have been presented [1]. We will consider the most general case of a soliton on a background solution and demonstrate several limiting cases. Among these limits are rogue waves and classical solitons with zero background.
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