Results 21 to 30 of about 817 (182)

Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves

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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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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Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+1)-dimensional burgers system in ocean physics and hydrodynamics

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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Multi-soliton solutions and long-time asymptotic behavior of the modified Korteweg–de Vries equations

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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Analytic multi-soliton solutions of the generalized Burgers equation

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Liu 0019, Gui Mu, Zhengde Dai, Xi Liu   +3 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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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, Muhammad Amin S. Murad, Hasan Bulut   +2 more
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A RELATIONSHIP BETWEEN RATIONAL AND MULTI-SOLITON SOLUTIONS OF THE BKP HIERARCHY [PDF]

Glasgow Mathematical Journal, 2005
15 ...
Nimmo, J.J.C., Orlov, A.Y.
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On novel resonant multi-soliton and wave solutions to the (3+1)-dimensional GSWE equation via three effective approaches

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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On soliton solutions of the Wu-Zhang system

Open Physics, 2016
In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Inc Mustafa, Kilic Bulent, Karatas Esra, Mohamed Al Qurashi Maysaa’, Baleanu Dumitru, Tchier Fairouz   +5 more
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