Results 21 to 30 of about 6,812 (242)
Two-peak soliton in the CKP hierarchy [PDF]
, 2006 We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP ...
Cheng, Yi +2 more
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Heliyon, 2023 In this paper, the (2+1)-dimensional generalized fifth-order KdV equation and the extended (3+1)-dimensional Jimbo-Miwa equation were transformed into the Hirota bilinear forms with Hirota direct method.
Baoyong Guo, Yong Fang, Huanhe Dong
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Asymptotic Solitons of the Johnson Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2000 We prove the existence of non-decaying real solutions of the Johnson equation, vanishing as $x\to+\infty$. We obtain asymptotic formulas as $t\to\infty$ for the solutions in the form of an infinite series of asymptotic solitons with curved lines of constant phase and varying amplitude and width.
Anders, Igor, Boutet de Monvel, Anne
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A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
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Partial Differential Equations in Applied Mathematics, 2022 The prime goal of this study is to investigate the soliton dynamics to the family of 3D fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations in the absence of self-phase modulation by employing the advanced exp−ϕψ-expansion method.
Abdulla - Al - Mamun +4 more
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Intertwining operators and soliton equations [PDF]
Functional Analysis and Its Applications, 1999 25 pages ...
Golenishcheva-Kutuzova, M. I. +1 more
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The Integrability of a New Fractional Soliton Hierarchy and Its Application
Advances in Mathematical Physics, 2022 Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system.
Xiao-ming Zhu, Jian-bing Zhang
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On the non-integrability of the Popowicz peakon system [PDF]
, 2009 We consider a coupled system of Hamiltonian partial differential equations introduced by Popowicz, which has the appearance of a two-field coupling between the Camassa-Holm and Degasperis-Procesi equations.
Irle, Michael V., Hone, Andrew N.W.
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Alexandria Engineering Journal, 2022 The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
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On the Dynamics of Solitons in the Nonlinear Schrödinger Equation [PDF]
Archive for Rational Mechanics and Analysis, 2012 We study the behavior of the soliton solutions of the equation i((\partialψ)/(\partialt))=-(1/(2m))Δψ+(1/2)W_{ε}'(ψ)+V(x)ψ where W_{ε}' is a suitable nonlinear term which is singular for ε=0. We use the "strong" nonlinearity to obtain results on existence, shape, stability and dynamics of the soliton.
BENCI, VIERI +2 more
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