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Shallow-water rogue waves: An approach based on complex solutions of the Korteweg–de Vries equation
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jdeq.1998.3417openalex-snapshot
Approximation of the Korteweg–de Vries Equation by the Nonlinear Schrödinger Equation
inferredcites →https://doi.org/10.1007/bf00913182openalex-snapshot
Stability of periodic waves of finite amplitude on the surface of a deep fluid
inferredcites →https://doi.org/10.1007/bf01017056openalex-snapshot
Levi-Civita theory for irrotational water waves in a one-dimensional channel and the complex Korteweg-de Vries equation
inferredcites →https://doi.org/10.1007/s10665-009-9347-2openalex-snapshot
What makes the Peregrine soliton so special as a prototype of freak waves?
inferredcites →https://doi.org/10.1007/s11071-017-3991-2openalex-snapshot
Rogue wave-type solutions of the mKdV equation and their relation to known NLSE rogue wave solutions
inferredcites →https://doi.org/10.1016/0167-2789(96)00109-1openalex-snapshot
Irrotational water waves and the complex Korteweg-de Vries Equation
inferredcites →https://doi.org/10.1016/0375-9601(84)90408-0openalex-snapshot
A simple model for unidirectional crystal growth
inferredcites →https://doi.org/10.1016/c2009-0-03486-2openalex-snapshot
Nonlinear Ocean Waves and the Inverse Scattering Transform
inferredcites →https://doi.org/10.1016/j.physleta.2007.03.093openalex-snapshot
The exact solutions to the complex KdV equation
inferredcites →https://doi.org/10.1016/j.physleta.2008.12.036openalex-snapshot
Waves that appear from nowhere and disappear without a trace
inferredcites →https://doi.org/10.1016/j.physleta.2013.02.007openalex-snapshot
Shallow water rogue wavetrains in nonlinear optical fibers
inferredcites →https://doi.org/10.1016/j.physrep.2013.03.001openalex-snapshot
Rogue waves and their generating mechanisms in different physical contexts
inferredcites →https://doi.org/10.1017/s0022112071001393openalex-snapshot
Shallow-water waves, the Korteweg-deVries equation and solitons
inferredcites →https://doi.org/10.1063/1.1664700openalex-snapshot
Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
inferredcites →https://doi.org/10.1063/1.1664701openalex-snapshot
Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
inferredcites →https://doi.org/10.1063/1.4978864openalex-snapshot
Time-delay and reality conditions for complex solitons
inferredcites →https://doi.org/10.1063/1.857343openalex-snapshot
The shallow-water nonlinear Schrödinger equation in Lagrangian coordinates
inferredcites →https://doi.org/10.1080/14786449508620739openalex-snapshot
XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
inferredcites →https://doi.org/10.1080/17455030.2016.1161863openalex-snapshot
On the extension of solutions of the real to complex KdV equation and a mechanism for the construction of rogue waves
inferredcites →https://doi.org/10.1088/0031-8949/34/6b/001openalex-snapshot
Complex and Singular Solutions of KdV and MKdV Equations
inferredcites →https://doi.org/10.1088/0253-6102/61/4/03openalex-snapshot
Solutions to the Complex Korteweg-de Vries Equation: Blow-up Solutions and Non-Singular Solutions
inferredcites →https://doi.org/10.1088/1751-8113/43/43/434004openalex-snapshot
KP solitons in shallow water
inferredcites →https://doi.org/10.1088/1751-8113/49/36/365202openalex-snapshot
Complex solitons with real energies
inferredcites →https://doi.org/10.1103/physreve.86.036604openalex-snapshot
Rogue waves in the Davey-Stewartson I equation
inferredcites →https://doi.org/10.1103/physrevlett.106.204502openalex-snapshot
Rogue Wave Observation in a Water Wave Tank
inferredcites →https://doi.org/10.1103/physrevlett.109.044102openalex-snapshot
Solutions of the Vector Nonlinear Schrödinger Equations: Evidence for Deterministic Rogue Waves
inferredcites →https://doi.org/10.1103/physrevlett.15.240openalex-snapshot
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
inferredcites →https://doi.org/10.1134/1.2149072openalex-snapshot
A high-order nonlinear envelope equation for gravity waves in finite-depth water
inferredcites →https://doi.org/10.1140/epjb/e2016-70130-7openalex-snapshot
Complex solitary waves and soliton trains in KdV and mKdV equations
inferredcites →https://doi.org/10.1140/epjst/e2010-01240-1openalex-snapshot
Rogue waves in shallow water
inferredcites →https://doi.org/10.1146/annurev.fluid.40.111406.102203openalex-snapshot
Oceanic Rogue Waves
inferredcites →https://doi.org/10.1155/2011/854719openalex-snapshot
Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation
inferredcites →https://doi.org/10.3934/dcdsb.2005.5.489openalex-snapshot
The complex KdV equation with or without dissipation
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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