Results 61 to 70 of about 817 (182)
Partial Differential Equations in Applied MathematicsSolitons are essential in order to understand integrable systems and solve nonlinear evolution equations. They maintain signal integrity in the optical fiber and represent localized waves in plasma, paying significantly to plasma behavior management in ...
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
doaj +1 more source
Numerical 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
Nested Multi-Soliton Solutions with Arbitrary Hopf Index
, 2004 Generalized Aratyn-Ferreira-Zimerman O(3) nonlinear sigma model with a particular symmetry breaking term, so-called dielectric function, is discussed. Static multi-soliton configurations with finite energy and nontrivial Hopf index are found. We show that such configurations consist of nested toroidal solitons.
openaire +3 more sources
Darboux transformation and multi-soliton solutions of the discrete sine-Gordon equation
Progress of Theoretical and Experimental Physics, 2020 AbstractWe study the discrete Darboux transformation and construct multi-soliton solutions in terms of the ratio of determinants for the integrable discrete sine-Gordon equation. We also calculate explicit expressions of single-, double-, triple-, and quadruple-soliton solutions as well as single- and double-breather solutions of the discrete sine ...
Hanif, Y., Saleem, U.
openaire +2 more sources
SWOT Observations Constrain a 4D‐Var State Estimate of the California Current System
Earth and Space Science, Volume 13, Issue 7, July 2026.Abstract The Surface Water and Ocean Topography (SWOT) mission provides high‐resolution sea surface height (SSH) observations at 2‐km spacing, resolving submesoscale features typical of ageostrophic motions and associated with instabilities. Here, we demonstrate the assimilation of SWOT data into a regional configuration of the MITgcm for the ...
A. Verdy +4 more
wiley +1 more source
Space Weather, Volume 24, Issue 7, July 2026.Abstract This study reports the first observations of cosmic noise power (CNP) and cosmic noise absorption (CNA) obtained with a next‐generation riometer installed at the Southern Space Observatory (SSO/INPE) in Brazil, located within the South American Magnetic Anomaly (SAMA).
J. Moro +11 more
wiley +1 more source
Dynamical interaction of solitary, periodic, rogue type wave solutions and multi-soliton solutions of the nonlinear models. [PDF]
Heliyon, 2022 Mamunur Roshid M +6 more
europepmc +1 more source
Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations
Communications in Partial Differential Equations, 2004 We consider the Cauchy problem for the nonlinear Schroedinger eqiation with initial data close to a sum of N decoupled solitons. Under some suitable assumptions on the spectral structure of the one soliton linearizations we prove that for large time the asymptotics of the solution is given by a sum of solitons with slightly modified parameters and a ...
openaire +2 more sources
Discover SpaceDynamics of multi-solitons are investigated in the lower ionosphere of Venus at an altitude ranging from 200 to 1000 km within the framework of nonplanar geometry. The plasma environment of the lower ionosphere of Venus is composed of mobile $$O^+$$ and $
Kusum Chettri +3 more
doaj +1 more source
Journal of Ocean Engineering and Science, 2017 A direct rational exponential scheme is proposed to construct exact multi-soliton solutions and its fission, fusion phenomena after interaction of the solitons has been discussed.
Harun Or-Roshid, M.M. Rashidi
doaj +1 more source