Results 81 to 90 of about 17,084 (205)

Nonlinear evolution of disturbances in higher time-derivative theories

Journal of High Energy Physics
We investigate the evolution of localized initial value profiles when propagated in integrable versions of higher time-derivative theories. In contrast to the standard cases in nonlinear integrable systems, where these profiles evolve into a specific ...
Andreas Fring, Takano Taira, Bethan Turner   +2 more
doaj   +1 more source

Generating multibreather vector solitons by influencing the Manakov model and its modified forms with the linear self and cross coupling parameters

Heliyon, 2018
We have realized for the first time the multibreather vector multi-solitons supporting collision dynamics with many interaction effects (namely reflection, attraction, beating, etc., effects) associated with the coupled nonlinear Schrödinger family ...
N. Manikandan, R. Radhakrishnan
doaj   +1 more source

High Order Solutions and Generalized Darboux Transformations of Derivative Schr\"odinger Equation

, 2012
By means of certain limit technique, two kinds of generalized Darboux transformations are constructed for the derivative nonlinear Sch\"odinger equation (DNLS).
Akhmdiev, Ankiewicz, Ankiewicz, Chen, Doktorov, Dubard, Dubard, Gagnon, Guo, Imai, Kaup, Kharif, Klaus, Lenells, Ling, Matveev, Matveev, MjØLhus, MjØLhus, Nakanura, Ohta, Shchesnovich, Steudel, Wright, Xu, Zakharov   +25 more
core   +1 more source

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

Hidden possibilities in controlling optical soliton in fiber guided doped resonant medium

, 2011
Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schroedinger equation.
Kundu, Anjan
core   +2 more sources

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

Dynamical behavior of kink solitons in nonlinear Chaffee-Infante equations with chaotic and bifurcation analysis

Ain Shams Engineering Journal
The Chaffee-Infante Equations (CIEs) are modified types of reaction-diffusion equations which are frequently employed in research of phase transitions, pattern generation and nonlinear wave dynamics.
Zainab Alsheekhhussain, Tariq S. Alshammari, Yaouba Amadou, Saleh Alshammari, Mohammad Alshammari, M. Mossa Al-sawalha   +5 more
doaj   +1 more source

Novel hybrid waves solutions of Sawada–Kotera like integrable model arising in fluid mechanics

Alexandria Engineering Journal
The purpose of the paper is to uncover more advanced soliton solutions for the three-component Sawada–Kotera (SK)-like equation. The Hirota bilinear (HB) method is exploited to obtain a bilinear form and general solution to the three-component SK like ...
Hicham Saber, Faez A. Alqarni, Khaled A. Aldwoah, Hussam E. Hashim, Sayed Saifullah, Manel Hleili   +5 more
doaj   +1 more source

Multiple rogue wave, double-periodic soliton and breather wave solutions for a generalized breaking soliton system in (3 + 1)-dimensions

Scientific Reports
We focused on solitonic phenomena in wave propagation which was extracted from a generalized breaking soliton system in (3 + 1)-dimensions. The model describes the interaction phenomena between Riemann wave and long wave via two space variable in ...
Wenfang Li, Yingchun Kuang, Jalil Manafian, Somaye Malmir, Baharak Eslami, K. H. Mahmoud, A. S. A. Alsubaie   +6 more
doaj   +1 more source

Optical soliton solutions for a generalized nonlocal nonlinear Schrödinger-type equation with Kudryashov-like refractive index law

Franklin Open
This study explores a perturbed nonlinear optical system governed by Kudryashov’s law with an arbitrary refractive index to derive novel optical soliton solutions.
Entsar El-Shazly, Menas E. Eissa, Amr Elsonbaty, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source