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Doubly periodic solutions and breathers of the Hirota equation: recurrence, cascading mechanism and spectral analysis
The Hirota equation is an extension of the nonlinear Schrödinger equation by incorporating third-order dispersion. Doubly periodic solutions for the Hirota equation are established in terms of theta and ellipt...
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Article
Employing the dynamics of poles in the complex plane to describe properties of rogue waves: case studies using the Boussinesq and complex modified Korteweg–de Vries equations
The dynamics and properties of rogue waves of two classical evolution equations are studied in terms of trajectories of the poles of the exact solutions, by analytically continuing the spatial variable to be c...