Results 21 to 30 of about 1,408 (291)

Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation

open access: yesMathematics, 2023
This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
doaj   +1 more source

Lumps with their some interactions and breathers to an integrable (2 + 1)-dimensional Boussinesq equation in shallow water

open access: yesResults in Physics, 2022
In this paper, the lumps with their interactions (lump-single and lump-double stripes), and breather wave solutions are constructed to the new integrable (2 + 1)-dimensional Boussinesq equation via the Hirota bilinear method.
Md. Nuruzzaman, Dipankar Kumar
doaj   +1 more source

Interaction solution to the (3+1)-D negative-order KdV first structure

open access: yesPartial Differential Equations in Applied Mathematics, 2023
We derive N-solitons and interaction solution for the (3+1)-D negative-order KdV first structure that arises in shallow-water waves. We use the bilinear scheme and the simplified Hirota technique for this solution. From the multiple solitons solution, we
Mohammad Safi Ullah
doaj   +1 more source

Wave scattering by discrete breathers [PDF]

open access: yesChaos: An Interdisciplinary Journal of Nonlinear Science, 2003
We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear in various nonlinear systems and present a time-periodic localized scattering potential for plane waves.
Flach, S.   +2 more
openaire   +4 more sources

Instabilities, breathers and rogue waves in optics [PDF]

open access: yesNature Photonics, 2014
38 pages, 6 ...
John M. Dudley   +3 more
openaire   +3 more sources

A new extended (2+1)-dimensional Kadomtsev–Petviashvili equation with N-solitons, periodic solutions, rogue waves, breathers and lump waves

open access: yesResults in Physics, 2022
In this work, a new extended integrable (2+1)-dimensional Kadomtsev–Petviashvili equation is proposed and investigated, which models slowly varying perturbation wave in dispersion fluids.
Lingfei Li   +3 more
doaj   +1 more source

Complex interactions of breathers [PDF]

open access: yesEPJ Web of Conferences, 2023
We present our recent theoretical and experimental advancements in studying complex multiple nonlinear interactions of coherent solitary wave structures on unstable background – breathers.
Gelash Andrey   +2 more
doaj   +1 more source

Multi-wave, homoclinic breather,

open access: yes, 2021
In this article, we construct multi-wave, homoclinic breather, M-shaped rational and periodic cross kink wave solutions for coupled-Higgs equation (CHE) by using distinct transformations.
S. T. R. Rizvi   +5 more
core   +1 more source

Application of breather solutions for the investigation of wave/structure interaction in high steep waves

open access: yesVolume 2: Structures, Safety and Reliability, 2012
During the design process of floating structures, different specifications have to be aligned such as the range of application, the warranty of economical efficiency as well as the reliability and are an inevitable integral part of the evaluation process
Clauss, Günther F.   +3 more
core   +2 more sources

Lump, multi-wave, kinky breathers, interactional solutions and stability analysis for general (2 + 1)-rth dispersionless Dym equation

open access: yesResults in Physics, 2021
The Lump, multi-wave, breather, interactional solutions and stability analysis for the general r-th dispersionless Dym equation are obtained by some fruitful transformations.
S. Ahmed   +6 more
doaj   +1 more source

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