Results 151 to 160 of about 3,739 (193)
Some of the next articles are maybe not open access.
Mixed lump–soliton solutions of the (3+1)-dimensional soliton equation
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hengchun Hu
exaly +2 more sources
Hypergeometric Solutions of Soliton Equations
Theoretical and Mathematical Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orlov, A. Yu., Scherbin, D. M.
openaire +2 more sources
Three dimensional solitonic solutions
Nuclear Physics B - Proceedings Supplements, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Förste, S., Kehagias, A.
openaire +2 more sources
Exact soliton solutions for the core of dispersion-managed solitons
Physical Review E, 2003We consider the averaged dispersion-managed (DM) fiber system equation, which governs the dynamics of the core of the DM solitons. For a special case of such a system equation, we derive the exact soliton solutions using the Darboux transformation. Further, we discuss the interaction scenario between two neighboring solitons.
Xu, Z +4 more
openaire +3 more sources
The soliton solutions and combined solutions of a high-dimensional wave soliton equation
Physica Scripta, 2022Abstract In this paper, a high-dimensional wave soliton equation is considered and the simple Hirota method and bilinear backlund transformation are applied to construct the new soliton solutions, lump soliton solutions, breather solutions and their combined solutions.
openaire +1 more source
From rogue wave solution to solitons
Physical Review E, 2023Using a generalized nonlinear Schrödinger equation, we investigate the transformation of a fundamental rogue wave solution to a collection of solitons. Taking the third-order dispersion, self-steepening, and Raman-induced self-frequency shift as the generalizing effects, we systematically observe how a fundamental rogue wave has an impact on its ...
Amdad Chowdury +2 more
openaire +4 more sources
American Journal of Physics, 1979
Solutions to linear wave equations can always be expressed as a superposition of special solutions called plane waves. Some solutions to an important class of nonlinear wave equations can be thought of as a superposition of special solutions called solitons. In this paper, we present a simple method for generating these special soliton solutions.
P. J. Hansen, D. R. Nicholson
openaire +1 more source
Solutions to linear wave equations can always be expressed as a superposition of special solutions called plane waves. Some solutions to an important class of nonlinear wave equations can be thought of as a superposition of special solutions called solitons. In this paper, we present a simple method for generating these special soliton solutions.
P. J. Hansen, D. R. Nicholson
openaire +1 more source
Dualism in the Theory of Soliton Solutions
Computational Mathematics and Mathematical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beklaryan, L. A., Beklaryan, A. L.
openaire +2 more sources
Is the “drunken sinusoid” a soliton solution?
Reports on Mathematical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On soliton solutions of the Kaup–Kupershmidt equation. II. ‘Anomalous’ N-soliton solutions
Physica D: Nonlinear Phenomena, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources