Results 31 to 40 of about 173,152 (254)
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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A new integrable equation with peakon solutions [PDF]
, 2002 We consider a new partial differential equation recently obtained by Degasperis and Procesi using the method of asymptotic integrability; this equation has a form similar to the Camassa-Holm shallow water wave equation.
Holm, DD +5 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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Frequency conversion based on three-wave parametric solitons [PDF]
, 2010 Parametric three-wave mixing in quadratic nonlinear crystals provides a versatile means of achieving widely tunable frequency conversion of laser light, thus permitting a substantial extension of the wavelength coverage of laser sources across broad ...
Degasperis, Antonio +17 more
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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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The relations between the multipole moments in axistationary electrovacuum spacetimes and the N-soliton solution [PDF]
General Relativity and Gravitation, 2022 A general formulation of the relativistic multipole moments in axistationary electrovac spacetimes is introduced in a closed analytical form. We give a complete description of how the Ernst potentials on the symmetry axis can be completely characterized by these arbitrary multipole moments. Some concrete applications are also developed.
Etevaldo dos Santos Costa Filho +2 more
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A note on loop-soliton solutions of the short-pulse equation
, 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.
E.J. Parkes, Parkes, E.J.
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