Results 11 to 20 of about 7,942,123 (324)
Comments on lump solutions in SFT [PDF]
The European Physical Journal C, 2016 We analyze a recently proposed scheme to construct analytic lump solutions in open SFT. We argue that in order for the scheme to be operative and to guarantee background independence it must be implemented in the same 2D conformal field theory in which ...
Loriano Bonora, Driba D. Tolla
core +3 more sources
Lump and Interaction solutions of a geophysical Korteweg–de Vries equation
Results in Physics, 2020 This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi +5 more
doaj +3 more sources
Results in Physics, 2023 In this article, a new dynamical system equation is constructed, named the (3+1)-dimensional Hirota-bilinear-like equation. The new ‘like’ equation has more nonlinear terms than the original equation while they have the same bilinear form.
Wenting Li, Ailing Jiao
doaj +2 more sources
Lump solutions of the fractional Kadomtsev–Petviashvili equation [Elektronisk resurs]
Fractional Calculus and Applied AnalysisOf concern is the fractional Kadomtsev–Petviashvili (fKP) equation and its lump solution. As in the classical Kadomtsev–Petviashvili equation, the fKP equation comes in two versions: fKP-I (strong surface tension case) and fKP-II (weak surface tension ...
Borluk, Handan, +3 more
core +7 more sources
Advances in Difference Equations, 2020 This paper investigates the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation by using Hirota’s direct method and the Kadomtsev–Petviashvili (KP) hierarchy reduction method.
Wenjuan Rui, Yufeng Zhang
doaj +6 more sources
Mixed lump–kink solutions to the KP equation
Computers & Mathematics with Applications, 2017 By using the Hirota bilinear form of the KP equation, twelve classes of lump-kink solutions are presented under the help of symbolic computations with Maple.
Zhao, Hai-Qiong +3 more
core +3 more sources
Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model
Advances in Mathematical Physics, 2018 We explore dynamical features of lump solutions as diversion and propagation in the space. Through the Hirota bilinear method and the Cole-Hopf transformation, lump-type solutions and their interaction solutions with one- or two-stripe solutions have ...
R. Sadat, M. Kassem, Wen-Xiu Ma
doaj +2 more sources
Rational Solutions and Lump Solutions of the Potential YTSF Equation
Zeitschrift für Naturforschung A, 2017 By using of the bilinear form, rational solutions and lump solutions of the potential Yu–Toda–Sasa–Fukuyama (YTSF) equation are derived. Dynamics of the fundamental lump solution, n 1-order lump solutions, and N-lump solutions are ...
Ai-Hua Chen, Hong-Qian Sun
core +2 more sources
Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation
Advances in Mathematical Physics, 2017 Based on the symbolic computation, a class of lump solutions to the (2+1)-dimensional Sawada-Kotera (2DSK) equation is obtained through making use of its Hirota bilinear form and one positive quadratic function.
Xian Li, Yao Wang, Meidan Chen, Biao Li
doaj +2 more sources
A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation
Complexity, 2019 Based on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being ...
Xi-zhong Liu +3 more
doaj +2 more sources