Results 41 to 50 of about 51,683 (232)
Complexity, 2020 In this paper, a new generalized semidiscrete integrable system with time-varying coefficients is analytically studied. Firstly, the generalized semidiscrete system is derived from a semidiscrete matrix spectral problem by embedding finite time-varying ...
Sheng Zhang, Sen Zhao, Bo Xu
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Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions
, 2002 We find non-BPS solutions of the noncommutative CP^1 model in 2+1 dimensions. These solutions correspond to soliton anti-soliton configurations. We show that the one-soliton one-anti-soliton solution is unstable when the distance between the soliton and ...
D.J. Gross +12 more
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A dressing method for soliton solutions of the Camassa-Holm equation [PDF]
, 2017 The soliton solutions of the Camassa-Holm equation are derived by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form obtained by other methods.Comment: 18 pages, 2 ...
Ivanov, Rossen, Lyons, Tony, Orr, Nigel
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Soliton solutions of relativistic Hartree equations [PDF]
Journal of Physics A: Mathematical and General, 1993 We study a model based on $N$ scalar complex fields coupled to a scalar real field, where all fields are treated classically as c-numbers. The model describes a composite particle made up of $N$ constituents with bare mass $m_0$ interacting both with each other and with themselves via the exchange of a particle of mass $ _0$.
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Multicomponent integrable wave equations: II. Soliton solutions [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 24 pages, 10 figures, standard LaTeX2e, submitted for ...
DE GASPERIS, Antonio, LOMBARDO S.
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Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method
Results in Physics, 2021 In this work, the analytic solutions for different types of nonlinear partial differential equations are obtained using the multiple Exp-function method.
Kottakkaran Sooppy Nisar +5 more
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Multi-soliton solutions of affine Toda models [PDF]
Nuclear Physics B, 1995 Latex, 25 Pages, UB-TH ...
Zhu, Z., Caldi, D. G.
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Soliton Solutions for Quasilinear Schrödinger Equations [PDF]
Journal of Applied Mathematics, 2013 Summary: By using a change of variables, we get new equations, whose respective associated functionals are well defined in \(H^1(\mathbb R^N)\) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
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Abstract and Applied Analysis, 2013 We study a generalized KdV equation of neglecting the highest order infinitesimal term, which is an important water wave model. Some exact traveling wave solutions such as singular solitary wave solutions, semiloop soliton solutions, dark soliton ...
Xianbin Wu, Weiguo Rui, Xiaochun Hong
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Journal of Ocean Engineering and Science, 2023 Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar +2 more
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