Novel rogue-like parabolic-solitons of the Kadomtsev- Petviashvili equation
DOI:
https://doi.org/10.61841/kkg5h717Keywords:
KP equation, KdV equation, Self-Similar Transformation, Parabolic Soliton, Rogue-Like WaveAbstract
We proposes a new self-similar transformation of the KP equation for mapping into KdV equation and finds its novel rogue-like parabolic solitons with the ‘short-lived’ , which is similar to the rogue wave in NLS equation for first time. The new solutions may be useful in the theory of rogue waves in a prototypical example of rogue wave in the (2+1)-dimensional nonlinear wave models. These studies could be helpful to deepen our understandings and enrich our knowledge about rogue waves.
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