Results 111 to 120 of about 7,793,680 (284)

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

open access: yesMathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río   +2 more
wiley   +1 more source

Exact solution for the charge soliton in a one-dimensional array of small tunnel junctions [PDF]

open access: yes, 1994
An exact solution for the single charge soliton, in a one-dimensional array of N gated junctions with equal junction capacitances C and equal gate capacitances Cg, is presented.
O\u27Connell, R. F.   +3 more
core   +1 more source

1-soliton solution of the K(m, n) equation with generalized evolution and time-dependent damping and dispersion

open access: yesComputers and Mathematics with Applications, 2010
This paper obtains the 1-soliton solution of the K(m,n) equation with generalized evolution in the presence of linear damping. The dispersion and linear damping terms have time-dependent coefficients.
A. Biswas
semanticscholar   +1 more source

Soliton cluster solutions of nonlinear Schrödinger equations with variable coefficients in Bessel lattice

open access: yesResults in Physics
The goal of this article is to obtain soliton cluster solutions of (2 + 1)-dimensional nonlinear variable coefficient Schrödinger equations through computerized symbolic computation.
Shaofu Wang
doaj   +1 more source

Complex and Real Optical Soliton Properties of the Paraxial Non-linear Schrödinger Equation in Kerr Media With M-Fractional

open access: yesFrontiers in Physics, 2019
In this paper, we use the modified exponential function method in terms of Kf(x) instead of ef(x)and the extended sinh-Gordon method to find some new family solution of the M-fractional paraxial non-linear Schrödinger equation. The novel complex and real
Wei Gao   +5 more
doaj   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

PENYELESAIAN SOLITON PADA PERSAMAAN GELOMBANG [PDF]

open access: yes, 2012
The wave equation is reviewed in this research. Soliton solution of wave equation can begenerated by two constrains according to spatial dispersion. Method that used in current investigation isperiodic solution of wave equation transformed to soliton by ...
Nugroho, Gunawan
core   +2 more sources

Soft Colloidal Robots: Magnetically Guided Liquid Crystal Torons for Targeted Micro‐Cargo Delivery

open access: yesSmall, Volume 22, Issue 37, 2 July 2026.
Torons, topological quasiparticles in liquid crystals, can be propelled using electric fields and precisely steered with magnetic alignment, enabling programmable motion without fluid flow. In microfluidic channels, they transport colloidal cargo and exhibit novel dynamic behavior. Their uniformity, softness, and reconfigurability make torons ideal for
Joel Torres‐Andrés   +4 more
wiley   +1 more source

Asymptotic stability of the Toda m-soliton [PDF]

open access: yes, 2012
We prove that multi-soliton solutions of the Toda lattice are both linearly and nonlinearly stable in exponentially weighted spaces. Our proof uses neither the inverse spectral method nor the Lax pair of the model but instead studies the linearization of
G.N. Benes   +5 more
core   +1 more source

Lie group analysis, solitons, self-adjointness and conservation laws of the nonlinear elastic structural element equation

open access: yesJournal of Taibah University for Science
This study is based on the Lie group method for the nonlinear elastic structural element equation (ESE Equation). We obtain a three-dimensional Lie algebra. By utilizing this Lie algebra a four-dimensional optimal system is constructed. The governing ESE
Akhtar Hussain   +2 more
doaj   +1 more source

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