, 2011 Exact breather-type and periodic-type soliton solutions including the double-breather-type soliton solutions, the breather-type periodic soliton solutions and breather-type two-soliton solutions, and the periodic-type two-soliton and three-soliton ...
Gui Mu +5 more
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The RP(^2) sigma and easy plane baby skyrme models [PDF]
, 2000 This thesis examines the behaviour of two new models exhibiting topological solitons. This analysis is predominantly numerical, but a limited collective coordinate approach is attempted where appropriate. In chapter 1 we review the field of solitons.
Szyndel, Matthew Dennis Edward
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Two-dimensional stationary soliton gas
Physical Review ResearchWe study two-dimensional stationary soliton gas in the framework of the time-independent reduction of the Kadomtsev-Petviashvili (KPII) equation, which coincides with the integrable two-way “good” Boussinesq equation in the xy plane.
Thibault Bonnemain +4 more
doaj +1 more source
On soliton solutions of the Kaup-Kupershmidt equation. II. \u27Anomalous\u27 N-soliton solutions
In the second of two articles (designated I [Physica D 137 (2000) 25] and II), exact soliton solutions of the Kaup-Kupershmidt equation are derived using a simplified approach based in part on Hirota\u27s bilinear transform.
Parker A
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Soliton Solutions for the Mean Curvature Flow
, 2007 : We consider soliton solutions of the mean curvature flow, i.e. solutions which move under the mean curvature flow by a group of isometries of the ambient manifold. Several examples of solitons on manifolds are discussed.
K. Smoczyk, N. Hungerbühler
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mKdV Equation on Time Scales: Darboux Transformation and N-Soliton Solutions
In this paper, the spectral problem of the mKdV equation satisfying the compatibility condition on time scales is directly constructed. By using the zero-curvature equation on time scales, the mKdV equation on time scales is obtained.
Yong Fang, Xue Sang, Baojian Jin
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Exploring N-soliton solutions, multiple rogue wave and the linear superposition principle to the generalized hirota satsuma-ito equation. [PDF]
Sci RepGuo Y +5 more
europepmc +1 more source
Exact wave structures in magneto-optic soliton channels governed by Kudryashov-type coupled Schrödinger dynamics. [PDF]
Sci RepTarek A, Ahmed HM, Badra N, Samir I.
europepmc +1 more source
Exact noise influenced soliton solutions of a high-order stochastic nonlinear Schrödinger equation with weak nonlocal nonlinearity in a non-Kerr medium. [PDF]
Sci RepAli MH +5 more
europepmc +1 more source
Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation. [PDF]
Sci RepMorgan M, Ahmed HM, Sayed M, Soliman M.
europepmc +1 more source