Results 41 to 50 of about 47,923 (215)

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, Gantmacher F R, Griffiths P, Hirota R, Infeld E, Kadomtsev B B, Pashaev O K Yerbag-Francisco M L, Sato M, Yuji Kodama   +8 more
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A note on loop-soliton solutions of the short-pulse equation [PDF]

, 2010
It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition.
Parkes, E.J.
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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$.
openaire   +3 more sources

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

Mathematics
The (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, Zheng-Yi Ma, Jin-Xi Fei, Hui-Ling Wu, Li Cheng   +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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Analysing soliton dynamics and a comparative study of fractional derivatives in the nonlinear fractional Kudryashov’s equation

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, Salah Mahmoud Boulaaras, Hamood Ur Rehman, Ifrah Iqbal, Muhammad Shoaib Saleem, Dean Chou   +5 more
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Multi loop soliton solutions and their interactions in the Degasperis-Procesi equation

, 2012
In this article, we construct loop soliton solutions and mixed soliton - loop soliton solution for the Degasperis-Procesi equation. To explore these solutions we adopt the procedure given by Matsuno.
Constantin A, Degasperis A, Feng B F, Hone A N W, Lundmark H, M Senthilvelan, Matsuno Y, Matsuno Y, Matsuno Y, Rogers C, S Stalin, Sakovich A, Vakhnenko V A, Vakhnenko V O   +13 more
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