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Three dimensional solitonic solutions
Nuclear Physics B - Proceedings Supplements, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Förste, S., Kehagias, A.
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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
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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
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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
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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
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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.
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Multiple-soliton solutions for the Boussinesq equation
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul Majid Wazwaz
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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.
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Is the “drunken sinusoid” a soliton solution?
Reports on Mathematical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Applied Mathematics and Computation, 2008
Abstract In this paper, we study the positive and the negative modified Kadomtsev–Petviashvili (mKP) equations. The mKP equations are completely integrable equations that admit N -soliton solutions and an infinite number of conserved densities.
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Abstract In this paper, we study the positive and the negative modified Kadomtsev–Petviashvili (mKP) equations. The mKP equations are completely integrable equations that admit N -soliton solutions and an infinite number of conserved densities.
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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.
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