Results 91 to 100 of about 48,721 (216)

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Multiple soliton solutions for the (3+1) conformable space–time fractional modified Korteweg–de-Vries equations

Journal of Ocean Engineering and Science, 2018
In the present paper, multiple exact soliton solutions for the old and the newly introduced (3+1)-dimensional modified Korteweg–de-Vries equation (mKdV) will be sought.
R.I. Nuruddeen
doaj   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Numerical Solitons of Generalized Korteweg-de Vries Equations

, 2005
We propose a numerical method for finding solitary wave solutions of generalized Korteweg-de Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We
Camassa, Fokas, Gardner, Houde Han, Rosenau, Rosenau, Zabusky, Zhenli Xu   +7 more
core   +2 more sources

Soliton solutions of relativistic Hartree equations [PDF]

Journal of Physics A: Mathematical and General, 1993
We study a model based on $N$ scalar complex fields coupled to a scalar real field, where all fields are treated classically as c-numbers. The model describes a composite particle made up of $N$ constituents with bare mass $m_0$ interacting both with each other and with themselves via the exchange of a particle of mass $ _0$.
openaire   +3 more sources

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Variational Method for Studying Solitons in the KdV equation

, 1992
We use a class of trial wave functions which are generalizations of gaussians to study single soliton approximate analytic solutions to the KdV equations. The variational parameters obey a Hamiltonian dynamics obtained from the Principle of Least Action.
Carlo Lucheroni, Cooper, Cooper, Dirac, Drazin, Faddeev, Fred Cooper, Harvey Shepard, Jackiw, Pasquale Sodano   +9 more
core   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Ultra‐Flat Watt‐Level All‐Fiber Supercontinuum Generation With 3‐dB Spectral Bandwidth Spanning From 414 to 1860 nm

Nanophotonics, Volume 15, Issue 7, 13 April 2026.
We experimentally achieve an ultraflat, 4.35‐W all‐fiber supercontinuum spanning from 414 to 1860 nm (3‐dB bandwidth). To our knowledge, this represents the broadest octave‐spanning, visible‐to‐NIR, ultraflat SC source ever reported, which also exhibits maximal visible band coverage. ABSTRACT We propose a method for generating ultraflat supercontinuum (
Yashuai Guo, Xiaohong Hu, Ting Zhang, Ran Pan, Wei Zhang, Yishan Wang, Wei Zhao   +6 more
wiley   +1 more source

A (2 + 1)-Dimensional Integrable Breaking Soliton Equation and Its Algebro-Geometric Solutions

Mathematics
A new (2 + 1)-dimensional breaking soliton equation with the help of the nonisospectral Lax pair is presented. It is shown that the compatible solutions of the first two nontrivial equations in the (1 + 1)-dimensional Kaup–Newell soliton hierarchy ...
Xiaohong Chen, Tiecheng Xia, Liancheng Zhu   +2 more
doaj   +1 more source