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  1. No Access

    Article

    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...

    H. M. Yin, Q. Pan, K. W. Chow in Nonlinear Dynamics (2022)

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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...

    W. C. Chung, T. L. Chiu, K. W. Chow in Nonlinear Dynamics (2020)

  3. Article

    Changing forms and sudden smooth transitions of tsunami waves

    In some tsunami waves travelling over the ocean, such as the one approaching the eastern coast of Japan in 2011, the sea surface of the ocean is depressed by a small metre-scale displacement over a multi-kilom...

    R. H. J. Grimshaw, J. C. R. Hunt, K. W. Chow in Journal of Ocean Engineering and Marine En… (2015)

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