Results 11 to 20 of about 4,963 (301)

Ghost Interaction of Breathers [PDF]

Frontiers in Physics, 2020
Mutual interaction of localized nonlinear waves, e.g., solitons and modulation instability patterns, is a fascinating and intensively-studied topic of nonlinear science.
Gang Xu, Andrey Gelash, Andrey Gelash, Amin Chabchoub, Amin Chabchoub, Vladimir Zakharov, Vladimir Zakharov, Vladimir Zakharov, Bertrand Kibler   +8 more
doaj   +4 more sources

Breathers and Q-Breathers: two sides of the same coin

SIAM Journal on Applied Dynamical Systems, 2012
We construct, and approximate from the continuum, two-parameter families of time periodic, small amplitude, localized solutions, for both the focusing and defocusing finite discrete nonlinear Schrödinger models, with Dirichlet boundary conditions ...
S. Paleari, T. Penati
core   +2 more sources

Quantum Signatures of Breather-Breather Interactions [PDF]

Physical Review Letters, 2004
4 pages, 4 ...
J. DORIGNAC, J. C. EILBECK, SALERNO, Mario, A. C. SCOTT   +3 more
openaire   +4 more sources

Discrete breathers [PDF]

Physics Reports, 1998
62 pages, LaTeX, 14 ps figures. Physics Reports, to be published; see also at http://www.mpipks-dresden.mpg.de/~flach/html/preprints ...
Flach, S., Willis, C.
openaire   +3 more sources

Exploring the dynamics of nonlocal nonlinear waves: Analytical insights into the extended Kadomtsev–Petviashvili model

Frontiers in Physics, 2023
The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of research. In this study, we take a closer look at the extended nonlocal Kadomtsev–Petviashvili (enKP) model through a systematic analysis of explicit solutions ...
Karuppaiya Sakkaravarthi, Sudhir Singh, Natanael Karjanto   +2 more
doaj   +1 more source

Study of Stochastic–Fractional Drinfel’d–Sokolov–Wilson Equation for M-Shaped Rational, Homoclinic Breather, Periodic and Kink-Cross Rational Solutions

Mathematics, 2023
We explore stochastic–fractional Drinfel’d–Sokolov–Wilson (SFDSW) equations for some wave solutions such as the cross-kink rational wave solution, periodic cross-rational wave solution and homoclinic breather wave solution.
Shami A. M. Alsallami, Syed T. R. Rizvi, Aly R. Seadawy   +2 more
doaj   +1 more source

Grey-Black Optical Solitons, Homoclinic Breather, Combined Solitons via Chupin Liu’s Theorem for Improved Perturbed NLSE with Dual-Power Law Nonlinearity

Mathematics, 2023
In this article, we consider the improved perturbed nonlinear Schrödinger Equation (IP-NLSE) with dual power law nonlinearity, which arises in optical fibers and photovoltaic-photo-refractive materials.
Syed T. R. Rizvi, Aly R. Seadawy, Shami A. M. Alsallami   +2 more
doaj   +1 more source

Stability of Quantum Breathers [PDF]

Physical Review Letters, 2006
Using two methods we show that a quantized discrete breather in a 1-D lattice is stable. One method uses path integrals and compares correlations for a (linear) local mode with those of the quantum breather. The other takes a local mode as the zeroth order system relative to which numerical, cutoff-insensitive diagonalization of the Hamiltonian is ...
Schulman, L. S., Tolkunov, D., Mihokova, E.   +2 more
openaire   +3 more sources

Multi solitons, bifurcations, high order breathers and hybrid breather solitons for the extended modified Vakhnenko–Parkes equation

Results in Physics, 2023
This manuscript delves into a comprehensive investigation of significant exact solutions pertaining to the extended modified Vakhnenko–Parkes equation (emVPE), with a focus on novel solutions.
Yong Tang
doaj   +1 more source

Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation

Open Physics, 2021
The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field.
Seadawy Aly R., Rizvi Syed Tahir Raza, Ahmad Sarfraz, Younis Muhammad, Baleanu Dumitru   +4 more
doaj   +1 more source