Results 21 to 30 of about 1,181 (196)

Supersymmetric solitons in gauged N $$ \mathcal{N} $$ = 8 supergravity

Journal of High Energy Physics, 2023
We consider soliton solutions in AdS4 with a flat slicing and Wilson loops around one cycle. We study the phase structure and find the ground state and identify supersymmetric solutions as a function of the Wilson loops.
Andrés Anabalón, Antonio Gallerati, Simon Ross, Mario Trigiante   +3 more
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Soliton Molecules and Some Novel Types of Hybrid Solutions to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

Advances in Mathematical Physics, 2020
Soliton molecules of the (2 + 1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived by N-soliton solutions and a new velocity resonance condition.
Shuxin Yang, Zhao Zhang, Biao Li
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Various Soliton Solutions and Asymptotic State Analysis for the Discrete Modified Korteweg-de Vries Equation

Advances in Mathematical Physics, 2021
Under investigation is the discrete modified Korteweg-de Vries (mKdV) equation, which is an integrable discretization of the continuous mKdV equation that can describe some physical phenomena such as dynamics of anharmonic lattices, solitary waves in ...
Zhe Lin, Xiao-Yong Wen, Meng-Li Qin
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N-lump and interaction solutions of localized waves to the (2 + 1)-dimensional generalized KP equation

Results in Physics, 2021
With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation, is constructed.
Haixia Zhang, Jalil Manafian, Gurpreet Singh, Onur Alp Ilhan, Angelina Olegovna Zekiy   +4 more
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Lax Integrability and Soliton Solutions for a Nonisospectral Integrodifferential System

Complexity, 2017
Searching for integrable systems and constructing their exact solutions are of both theoretical and practical value. In this paper, Ablowitz–Kaup–Newell–Segur (AKNS) spectral problem and its time evolution equation are first generalized by embedding a ...
Sheng Zhang, Siyu Hong
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Novel soliton solutions to a (2+1)-dimensional breaking soliton equation

Partial Differential Equations in Applied Mathematics, 2022
In this paper, a Hirota bilinear form is presented for a (2+1)-dimensional breaking soliton equation. Novel N-soliton solutions are constructed through an application of the Hiorta direct method.
Qi Chen, Xiao-ming Zhu, Jian-bing Zhang
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N-Soliton Solutions of the Nonisospectral Generalized Sawada-Kotera Equation

Advances in Mathematical Physics, 2014
The soliton interaction is investigated based on solving the nonisospectral generalized Sawada-Kotera (GSK) equation. By using Hirota method, the analytic one-, two-, three-, and N-soliton solutions of this model are obtained.
Jian Zhou, Xiang-Gui Li, Deng-Shan Wang
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The Integrability of a New Fractional Soliton Hierarchy and Its Application

Advances in Mathematical Physics, 2022
Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system.
Xiao-ming Zhu, Jian-bing Zhang
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Nonlinear superposition between lump soliton and other nonlinear localized waves for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

Results in Physics, 2023
In the previous studies, the authors have reported the lump soliton collided with other nonlinear localized waves for (2+1)-dimensional Korteweg–de Vries–Sawada-Kotera–Ramani equation.
Longxing Li, Zhengde Dai, Bitao Cheng, Rubing Li   +3 more
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The N-soliton solutions to the M-components nonlinear Schrödinger equations by the Riemann–Hilbert approach

Partial Differential Equations in Applied Mathematics, 2022
In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
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