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A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method

Physica Scripta, 2021
This paper investigates the new KP equation with variable coefficients of time ‘t’, broadly used to elucidate shallow water waves that arise in plasma physics, marine engineering, ocean physics, nonlinear sciences, and fluid dynamics. In 2020, Wazwaz [1]
Sachin Kumar, Brij Mohan
semanticscholar   +1 more source

Nonautonomous Breather and Rogue Wave in Spinor Bose–Einstein Condensates with Space-Time Modulated Potentials

Chinese Physics Letters, 2023
To study controlled evolution of nonautonomous matter-wave breathers and rogue waves in spinor Bose–Einstein condensates with spatiotemporal modulation, we focus on a system of three coupled Gross–Pitaevskii equations with spacetime-dependent external ...
Cuicui 崔崔 Ding 丁   +5 more
semanticscholar   +1 more source

Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics

Applied Mathematics Letters, 2021
We report a novel type of breather by studying the Vakhnenko equation (VE) describing high-frequency wave (HFW) propagation in electromagnetic physics.
Bangqing Li
semanticscholar   +1 more source

Simplest breather

Physical Review E, 2018
The simplest Klein-Gordon (KG) breather is a compacton on a string subject to the force of gravity in a frictionless V-shaped trough. Its dynamics, spectrum, and energy are discussed and it is compared to sine-Gordon breathers. A generalization of this problem consists of a charged string subject to the electrostatic force of two semi-infinite coplanar
Ronald J, Forni, Richard C, Shockley
openaire   +2 more sources

Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation

Applied Mathematics and Computation, 2020
An extended generalized Darboux transformation method is proposed to construct the hybrid rogue wave and breather solutions for a classical nonlinear Schrodinger equation.
Bangqing Li, Yu‐Lan Ma
semanticscholar   +1 more source

Coupled soliton−breather, breather−breather and breather−soliton pair formation in Kerr type nonlinear media

Optics Communications, 2015
Abstract In this paper, we have investigated coupled propagation of two coaxially co-propagating and mutually incoherent bright beams in Kerr type nonlinear media, including formation of rhythmic breather pairs. We have proposed existence lines for these rhythmic breather pairs.
Ram Krishna Sarkar, Surya Mallick
openaire   +1 more source

Breather, soliton and rogue wave of a two-component derivative nonlinear Schrödinger equation

Physics Letters, 2021
Ultra-short pulse waves in the nonlinear optical fibers can be described by a two-component derivative nonlinear Schrodinger equation (cDNLS). Via theories of ordinary differential equation, general solutions of Lax pairs for cDNLS are attained, so ...
H. Jia   +3 more
semanticscholar   +1 more source

TALKING BREATHER QUBITS

International Journal of Modern Physics B, 2009
Breather is an elementary excitation regarded as a bound state of a fluxon and an antifluxon in a long Josephson junction. In quantum-mechanical regime, the breather energy is quantized so that the breather can be considered as an artificial moving atom.
Fujii, Toshiyuki   +3 more
openaire   +2 more sources

Breather solutions of the nonlocal nonlinear self-focusing Schrödinger equation

, 2021
The first- and second-order breather solutions of the self-focusing nonlocal nonlinear Schrodinger (NNLS) equation are obtained by employing Hirota's bilinear method.
W. Zhong   +3 more
semanticscholar   +1 more source

Bright compact breathers

Physical Review E, 2002
In this communication we will consider the potential of some general classes of nonlinear lattice models to support bright discrete compact breather solutions (compactlets). We analyze the conditions for which such solutions are possible and classify the models as belonging in three general categories: a class with no compact breather solutions, one ...
P G, Kevrekidis, V V, Konotop
openaire   +2 more sources

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