Results 41 to 50 of about 47,915 (224)
Young diagrams and N-soliton solutions of the KP equation
, 2004 We consider $N$-soliton solutions of the KP equation, (-4u_t+u_{xxx}+6uu_x)_x+3u_{yy}=0 . An $N$-soliton solution is a solution $u(x,y,t)$ which has the same set of $N$ line soliton solutions in both asymptotics $y\to\infty$ and $y\to -\infty$.
Biondini G +8 more
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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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On the soliton dynamics under a slowly varying medium for generalized KdV equations
, 2009 We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized Korteweg - de Vries equations (gKdV). We study the effects of inhomogeneities on the dynamics of a standard soliton.
Muñoz, Claudio
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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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The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
MathematicsThe (2+1)-dimensional integrable Caudrey–Dodd–Gibbon–Kotera–Sawada equation is a higher-order generalization of the Kadomtsev–Petviashvili equation, which can be applied in some physical branches such as the nonlinear dispersive phenomenon. In this paper,
Li-Jun Xu +4 more
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Multi-soliton dynamics of anti-self-dual gauge fields
Journal of High Energy Physics, 2022 We study dynamics of multi-soliton solutions of anti-self-dual Yang-Mills equations for G = GL(2, ℂ) in four-dimensional spaces. The one-soliton solution can be interpreted as a codimension-one soliton in four-dimensional spaces because the principal ...
Masashi Hamanaka, Shan-Chi Huang
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On the nonexistence of pure multi-solitons for the quartic gKdV equation [PDF]
, 2014 We consider the quartic (nonintegrable) (gKdV) equation. Let u(t) be an outgoing 2-soliton of the equation, i.e. a solution behaving exactly as the sum of two solitons (of speeds c1 and c2) for large positive time.
Martel, Yvan, Merle, Frank
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A note on N-soliton solutions for the viscid incompressible Navier–Stokes differential equation
AIP Advances, 2022 Repetitive curling of the incompressible viscid Navier–Stokes differential equation leads to a higher-order diffusion equation. Substituting this equation into the Navier–Stokes differential equation transposes the latter into the Korteweg–De Vries ...
R. Meulens
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Results in Physics, 2023 In this scholarly exploration, we employ new mapping method to unveil new soliton solutions to the nonlinear fractional Kudryashov’s equation, using β-derivative and M-Truncated fractional derivatives.
Asfand Fahad +5 more
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