Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents

DOI10.1098/RSPA.2013.0576zbMath1371.86010arXiv1204.0916OpenAlexW2963813955WikidataQ28658889 ScholiaQ28658889MaRDI QIDQ5362216

Abhik Mukherjee, Tapan Naskar, Anjan Kundu

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0916

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with geophysics (35Q86)

Related Items (24)

Novel nonlinear wave equation: regulated rogue waves and accelerated soliton solutions ⋮ Exact Solutions of the (2+1)-Dimensional Kundu-Mukherjee-Naskar Model via IBSEFM ⋮ Solutions of the Ablowitz-Kaup-Newell-Segur hierarchy equations of the ``rogue wave type: a unified approach ⋮ Breather and rogue wave solutions for a nonlinear Schrödinger-type system in plasmas ⋮ Dynamics of lumps and dark–dark solitons in the multi-component long-wave–short-wave resonance interaction system ⋮ Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation ⋮ New optical solitons in Bragg grating fibers for the nonlinear coupled \((2+1)\)-dimensional Kundu-Mukherjee-Naskar system via complete discrimination system method ⋮ Kadomtsev-Petviashvili equation: one-constraint method and lump pattern ⋮ Single and combined optical solitons, and conservation laws in (2+1)-dimensions with Kundu-Mukherjee-Naskar equation ⋮ Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems ⋮ Optical dromions and domain walls with the Kundu-Mukherjee-Naskar equation by the Laplace-Adomian decomposition scheme ⋮ The rational and semi-rational solutions to the Hirota Maccari system ⋮ Rogue waves for a generalized nonlinear Schrödinger equation with distributed coefficients in a monomode optical fiber ⋮ Antidark solitons and soliton molecules in a \((3 + 1)\)-dimensional nonlinear evolution equation ⋮ The rogue wave solutions of a new \((2+1)\)-dimensional equation ⋮ The integrability of a \((2+1)\)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions ⋮ Optical solitons in \((2+1)\)-dimensions with Kundu-Mukherjee-Naskar equation by extended trial function scheme ⋮ Rational solutions for a (3+1)-dimensional nonlinear evolution equation ⋮ Gray optical dips of Kundu-Mukherjee-Naskar model ⋮ Highly dispersive optical solitons of an equation with arbitrary refractive index ⋮ Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg-Landau equation ⋮ Rational Solutions for the Fokas System ⋮ Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system ⋮ Dynamics of localized waves and interaction solutions for the \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation

This page was built for publication: Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents