期刊
NONLINEAR DYNAMICS
卷 91, 期 3, 页码 1931-1938出版社
SPRINGER
DOI: 10.1007/s11071-017-3991-2
关键词
Rogue waves; Modified Korteweg-de Vries; Shallow water; Rational solutions
资金
- Australian Research Council [DP140100265, DP150102057]
- Volkswagen Stiftung
We present the first four exact rational solutions of the set of rational solutions of the modified Korteweg-de Vries equation. These solutions can be considered as rogue waves of the corresponding equation. Comparison with rogue wave solutions of the non-linear Schrodinger equation shows a strong analogy between their characteristics, especially for amplitudeto-background ratio. The new solutions may be useful in the theory of rogue waves in shallow water and for light propagation in cubic nonlinear media involving only a few optical cycles.
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