Results 31 to 40 of about 554,383 (268)
Two-peak soliton in the CKP hierarchy [PDF]
, 2006 We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP ...
Cheng, Yi +2 more
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Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]
, 2006 We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi +4 more
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Multi-Soliton Solutions for the Supercritical gKdV Equations [PDF]
Communications in Partial Differential Equations, 2010 For the L^2 subcritical and critical (gKdV) equations, Martel proved the existence and uniqueness of multi-solitons. Recall that for any N given solitons, we call multi-soliton a solution of (gKdV) which behaves as the sum of these N solitons asymptotically as time goes to infinity.
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Journal of Ocean Engineering and Science, 2023 In the fields of oceanography, hydrodynamics, and marine engineering, many mathematicians and physicists are interested in Burgers-type equations to show the different dynamics of nonlinear wave phenomena, one of which is a (3+1)-dimensional Burgers ...
Sachin Kumar, Amit Kumar, Brij Mohan
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, two modified KdV (MKdV) equations, one is real and the other is complex, are investigated. By applying the Hirota bilinear operator theory and computer algebra, the corresponding bilinear forms of these two MKdV equations are successfully ...
Yong-Li Sun, Jian-Ping Yu
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Various exact wave solutions for KdV equation with time-variable coefficients
Journal of Ocean Engineering and Science, 2022 In this study, we investigate the (2 + 1)-dimensional Korteweg-De Vries (KdV) equation with the extension of time-dependent coefficients. A symbolic computational method, the simplified Hirota’s method, and a long-wave method are utilized to create ...
Hajar F. Ismael +2 more
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Multi-soliton solution to the two-component Hunter–Saxton equation [PDF]
Wave Motion, 2016 17 pages, 4 ...
Lou, Senyue, Feng, Bao-Feng, Yao, Ruoxia
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Results in Physics, 2021 In this paper, the generalized shallow water equation (GSWE) is carefully investigated via three state-of-the-art integration schemes, namely the simplified linear superposition principle, velocity resonance, and the trial function method, respectively ...
Chun-Ku Kuo, Behzad Ghanbari
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Dynamical structure of truncated M−fractional Klein–Gordon model via two integral schemes
Results in Physics, 2023 In this work, the Truncated M−fractional Klein–Gordon (tM-fKG) equation is integrated by implementing the exp(-ϕ(ξ))-expansion and new form of modified Kudryashov’s schemes.
Harun-Or-Roshid +5 more
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Solitons on a background, rogue waves and classical soliton solutions of Sasa--Satsuma equation [PDF]
, 2013 We present the most general multi-parameter family of a soliton on a background solutions to the Sasa-Satsuma equation. The solution contains a set of several free parameters that control the background amplitude as well as the soliton itself.
Bandelow, Uwe, Akhmediev, Nail
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