Results 81 to 90 of about 17,079 (203)

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

Engineered Optical Fibers for Deep‐Tissue Applications

Advanced Optical Materials, Volume 14, Issue 10, 13 March 2026.
This review establishes a foundational framework for designing optical fibers for deep‐tissue medicine. It systematically links material innovations like polymers and hydrogels with structural paradigms to enable state‐of‐the‐art diagnostics, including endoscopy and biosensing, and targeted therapeutics, guiding future clinical translation.
Yuzhen Li, Siyang Zheng, Wenzhao Li, Kai Chen, Tianting Zhong, Chi Man Woo, Weiran Pang, Chuqi Yuan, Xiaozhou Xiao, Xianguang Yang, Long Jin, Xiang Qian, Qiyao Tan, Changyuan Yu, Liwei Liu, Junle Qu, Puxiang Lai   +16 more
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

Three higher-dimensional Virasoro integrable models: Multiple soliton solutions [PDF]

AIP Conference Proceedings, 2013
In this work, we study three higher-dimensional Virasoro integrable models, namely the (3+1)-dimensional Nizhnik-Novikov-Veselov equation, the (3+1)-dimensional breaking soliton equation, and a (3+1)-dimensional extended breaking soliton equation. The three equations are among the Virasoro integrable models.
openaire   +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

Diverse soliton wave profile assessment to the fractional order nonlinear Landau-Ginzburg-Higgs and coupled Boussinesq-Burger equations

Results in Physics
The space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder, Mohammad Asif Arefin, Khaled A. Gepreel, M. Hafiz Uddin, M. Ali Akbar   +4 more
doaj   +1 more source

Full reversal symmetric multiple soliton solutions for integrable systems

Acta Physica Sinica, 2020
Multiple soliton solutions are fundamental excitations. There are many kinds of equivalent representations for multiple soliton solutions such as the Hirota forms, Wronskian and/or double Wronskian expressions and Phaffian representations. Recently, in the studies of multi-place nonlocal systems, we find that there are a type of novel but equivalent ...
openaire   +1 more source