Mathematical Caricature of Large Waves
Mathematical Physics
2014-03-24 v1 math.MP
Authors:
Mikhail Kovalyov
Abstract
The Kadomtsev-Petviiashvili equation is considered as a mathematical caricature of large and rogue waves.
Keywords
Cite
@article{arxiv.1403.5365,
title = {Mathematical Caricature of Large Waves},
author = {Mikhail Kovalyov},
journal= {arXiv preprint arXiv:1403.5365},
year = {2014}
}
Related papers
View all related →
Mathematical Physics · Physics
On the nature of large and rogue waves
Mikhail Kovalyov
2014-03-25
Pattern Formation and Solitons · Physics
Multiple rogue wave solutions for the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
Jian-Guo Liu, Huan Zhao
2021-11-04
Pattern Formation and Solitons · Physics
Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients
Jian-Guo Liu, Wen-Hui Zhu, Yan He
2021-07-27
Pattern Formation and Solitons · Physics
Do Rogue Wave Exist in the Kadomtesv-Petviashivili I Equation ?
Jie-Fang Zhang, Zhao Zhang, Meng-yang Zhang, Mei-zhen Jin
2024-02-20
Exactly Solvable and Integrable Systems · Physics
Generalized Kadomtsev-Petviashvili equation with an infinite dimensional symmetry algebra
F. Gungor, P. Winternitz
2011-01-14
Analysis of PDEs · Mathematics
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
C. Klein, J. -C. Saut
2010-10-28
Analysis of PDEs · Mathematics
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations
Felipe Linares, Didier Pilod, Jean-Claude Saut
2017-05-30
Pattern Formation and Solitons · Physics
A novel type of rogue waves with predictability in nonlinear physics
M. Jia, S. Y. Lou
2017-10-19
Exactly Solvable and Integrable Systems · Physics
Kadomtsev-Petviashvili equation: one-constraint method and lump pattern
Jie-Yang Dong, Liming Ling, Xiaoen Zhang
2022-02-09
Numerical Analysis · Mathematics
Numerical study of the Kadomtsev--Petviashvili equation and dispersive shock waves
T. Grava, C. Klein, G. Pitton
2018-07-02
Pattern Formation and Solitons · Physics
A possible mechanism of generation of extreme waves in shallow water
Ken-ichi Maruno, Hidekazu tsuji, Masayuki Oikawa
2007-05-23
Pattern Formation and Solitons · Physics
On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation
K. R. Khusnutdinova, C. Klein, V. B. Matveev, A. O. Smirnov
2013-04-09
Pattern Formation and Solitons · Physics
Numerical study of the KP equation for non-periodic waves
Chiu-Yen Kao, Yuji Kodama
2015-03-14
Mathematical Physics · Physics
On critical behaviour in generalized Kadomtsev--Petviashvili equations
Boris Dubrovin, Tamara Grava, Christian Klein
2016-07-07
Atmospheric and Oceanic Physics · Physics
Rogue ocean waves and the St. Petersburg paradox
Paul Johns, Peter Palffy-Muhoray, Jake Fontana
2022-02-23
Analysis of PDEs · Mathematics
The Kadomtsev-Petviashvili equation in conformal variables for waves over topography
David Andrade, Marcelo V. Flamarion
2026-04-14
Exactly Solvable and Integrable Systems · Physics
Lumps and Rogue waves of Generalized Nizhnik Novikov Veselov Equation
P. Albares, P. G. Estevez, R. Radha, R. Saranya
2017-09-13
Analysis of PDEs · Mathematics
Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev--Petviashvili equation in $\mathbb{R}^2$
Claudianor O. Alves, Chao Ji
2022-09-27
Chaotic Dynamics · Physics
Chaotic behaviour of the solutions to a perturbed Korteweg-de Vries equation
K. B. Blyuss
2009-11-07
Analysis of PDEs · Mathematics
Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation
Handan Borluk, Gabriele Bruell, Dag Nilsson
2022-03-25
Pattern Formation and Solitons · Physics
Transverse Instability of Rogue Waves
Mark J. Ablowitz, Justin T. Cole
2021-09-14
Fluid Dynamics · Physics
Conservation Laws and Web-Solutions for the Benney--Luke Equation
Mark Ablowitz, Christopher Curtis
2015-06-12
Exactly Solvable and Integrable Systems · Physics
General rogue waves in the Boussinesq equation
Bo Yang, Jianke Yang
2020-02-19
solv-int · Physics
Explicit and Exact Solutions to a Kolmogorov-Petrovskii-Piskunov Equation
Wen-Xiu Ma, Benno Fuchssteiner
2019-08-15
Exactly Solvable and Integrable Systems · Physics
Deterministic Vector Freak Waves
Fabio Baronio, Antonio Degasperis, Matteo Conforti, Stefan Wabnitz
2013-08-09