Results 41 to 50 of about 3,184 (198)
Novel physical nonlinear structures in Saturn’s magnetosphere: Ion-acoustic solitons, lumps, and horseshoe-like nonlinear waves [PDF]
AIP AdvancesIn this paper, new analytical physical solutions to the Kadomtsev–Petviashvili–Bergers’ (KPB) equation in the multicomponent plasmas of Saturn are reported.
Weaam Alhejaili +2 more
doaj +1 more source
Localized coherent structures of Ishimori equation I through Hirota’s bilinearization method: Time dependent/stationary boundaries [PDF]
Chaos, Solitons & Fractals, 2007 Ishimori equation is a $(2+1)$ dimensional generalization of the $(1+1)$ dimensional integrable classical continuous Heisenberg ferromagnetic spin equation. The richness of the coherent structures admitted by Ishimori equation I such as dromion, lump and rationally- exponentially localized solutions, have been demonstrated in the literature through ...
Vijayalakshmi, S., Lakshmanan, M.
openaire +2 more sources
Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies [PDF]
, 2017 In this paper, we give a procedure of how to discretize the recursion operators by considering unified bilinear forms of integrable hierarchies. As two illustrative examples, the unified bilinear forms of the AKNS hierarchy and the KdV hierarchy are ...
Hu, Xingbiao, Yu, Guofu, Zhang, Yingnan
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Open Physics, 2022 In this work, a (2+1)-dimensional generalized Hirota–Satsuma–Ito equation realized to represent the propagation of unidirectional shallow water waves is investigated.
Zhang Yun-Xia, Xiao Li-Na
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Building Abelian Functions with Generalised Baker-Hirota Operators [PDF]
, 2012 We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and Hirota.
Athorne, Chris, England, Matthew
core +4 more sources
Abstract and Applied Analysis, 2014 The bilinear form, bilinear Bäcklund transformation, and Lax pair of a (2 + 1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived through Bell polynomials. The integrable constraint conditions on variable coefficients
Wen-guang Cheng, Biao Li, Yong Chen
doaj +1 more source
Shifted nonlocal Kundu type equations: Soliton solutions
Partial Differential Equations in Applied Mathematics, 2022 We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems.
Aslı Pekcan
doaj +1 more source
Periodic waves in bimodal optical fibers
, 2003 We consider coupled nonlinear Schrodinger equations (CNLSE) which govern the propagation of nonlinear waves in bimodal optical fibers. The nonlinear transform of a dual-frequency signal is used to generate an ultra-short-pulse train.
Agrawal +29 more
core +1 more source
Advances in Mathematical Physics, 2015 The relations between Dp-operators and multidimensional binary Bell polynomials are explored and applied to construct the bilinear forms with Dp-operators of nonlinear equations directly and quickly.
Jingzhu Wu, Xiuzhi Xing, Xianguo Geng
doaj +1 more source
Generation of a train of ultrashort pulses using periodic waves in tapered photonic crystal fibres [PDF]
, 2016 Funding This work was supported by the Ministry of Education , Nigeria for financial support through the TETFUND scholarship 55 scheme; CSIR [grant number 03(1264)/12/EMR-II].Peer ...
Atubaa, S. O. +5 more
core +1 more source