Results 21 to 30 of about 40,499 (216)
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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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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Constructing N-soliton solution for the mKdV equation through constrained flows [PDF]
, 2001 Based on the factorization of soliton equations into two commuting integrable x- and t-constrained flows, we derive N-soliton solutions for mKdV equation via its x- and t-constrained flows.
Ablowitz M +14 more
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Results in Physics, 2023 This paper investigates the space–time shifted nonlocal Sasa-Satsuma equation which is constructed by imposing a space–time shifted symmetry constraint on the two-component Sasa-Satsuma system.
Wen-Xin Zhang, Yaqing Liu
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Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations [PDF]
, 2001 We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schroedinger equations (3-CNLS) by using the Hirota method, and then obtain them for the general $N$-coupled nonlinear Schroedinger equations (N ...
A. Ankiewicz +24 more
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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 +3 more
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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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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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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 +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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