Results 21 to 30 of about 902,254 (275)
Construction of Multi-soliton Solutions of the N-Coupled Hirota Equations in an Optical Fiber [PDF]
Chinese Physics Letters, 2019 This work aims to study the N-coupled Hirota equations in an optical fiber under the zero boundary condition at infinity. By analyzing the spectral problem, a matrix Riemann–Hilbert problem on the real axis is strictly established.
Zhou-Zheng 周正 Kang 康, T. Xia 夏
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Darboux transformation and dark vector soliton solutions for complex mKdV systems
Partial Differential Equations in Applied Mathematics, 2021 A Darboux transformation and general vector dark soliton solutions are constructed for multi-component complex modified Korteweg–de Vries (mKdV) system.
Rusuo Ye, Yi Zhang, Wen-Xiu Ma
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Morphogenesis of sliced N-soliton solutions
Nuclear Physics B, 1976 Consider an instantaneous severing interaction which at t = ts transforms is given N-soliton solution q0 into two new solutions, qL and qR, with discontinuous anitial conditions at t = ts such that qL(qR) is equal to q0 to the left (right) of the severing point xs and vanishes to the right (left) of xs.
George R. Bart, Stanley Fenster
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Results in Physics, 2020 In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision phenomena between one-M-lump and one-, two-soliton solutions to the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation are successfully revealed.
Hajar F. Ismael +3 more
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Advances in Mathematical Physics, 2021 An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiying Chen, Xiangpeng Xin, Feng Zhang
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Physically significant nonlocal nonlinear Schrödinger equation and its soliton solutions [PDF]
Physical Review E, 2018 A new integrable nonlocal nonlinear Schroedinger (NLS) equation with clear physical motivations is proposed. This equation is obtained from a special reduction of the Manakov system, and it describes Manakov solutions whose two components are related by ...
Jianke Yang
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Constructing N-soliton solution for the mKdV equation through constrained flows [PDF]
, 2001 Based on the factorization of soliton equations into two commuting integrable x- and t-constrained flows, we derive N-soliton solutions for mKdV equation via its x- and t-constrained flows.
Ablowitz M +14 more
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Advances in Mathematical Physics, 2016 The exact rational solutions, quasi-periodic wave solutions, and N-soliton solutions of 3 + 1 dimensional Jimbo-Miwa equation are acquired, respectively, by using the Hirota method, whereafter the rational solutions are also called algebraic solitary ...
Hongwei Yang +4 more
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Advances in Difference Equations, 2018 Discrete N-fold Darboux transformation (DT) is used to derive new bright and dark multi-soliton solutions of two higher-order Toda lattice equations. Propagation and elastic interaction structures of such soliton solutions are shown graphically.
Nan Liu, Xiao-Yong Wen, Ling Xu
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The Geometrodynamics of Sine-Gordon Solitons [PDF]
, 1998 The relationship between N-soliton solutions to the Euclidean sine-Gordon equation and Lorentzian black holes in Jackiw-Teitelboim dilaton gravity is investigated, with emphasis on the important role played by the dilaton in determining the black hole ...
A. Ashtekar +23 more
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