Results 261 to 270 of about 9,899 (289)

Lump solutions of Biharmonic equation

2020
In this article, through symbolic computation With Maple, we get the solution of the (1 + 1)-dimensional Biharmonic-equation. These solutions, which we call lump solution, obtained using square functions, are rationally localized in all directions in the space.
Badiepour, Azadeh, Ayati, Zainab, Ebrahimi, Hamideh   +2 more
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Lump solutions of the BKP equation

Physics Letters A, 1990
The BKP equation (Date, Jimbo, Kashiwara and Miwa 1981, Jimbo and Miwa 1983) $${({{\rm{u}}_{\rm{t}}} + 15{\rm{u}}{{\rm{u}}_{{\rm{3x}}}} + 15{\rm{u}}_{\rm{x}}^{\rm{3}} - 15{{\rm{u}}_{\rm{x}}}{{\rm{u}}_{\rm{y}}} + {{\rm{u}}_{{\rm{5x}}}})_{\rm{x}}} - 5{{\rm{u}}_{{\rm{3x,y}}}} - 5{{\rm{u}}_{{\rm{yy}}}} - 0,$$ (1) is a 2+1 dimensional generalisation ...
C.R Gilson, J.J.C Nimmo
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Collisions between lump and soliton solutions

Applied Mathematics Letters, 2019
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Lump solutions and interaction solutions for (2 + 1)-dimensional KPI equation

Frontiers of Mathematics, 2021
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Guo, Yanfeng, Dai, Zhengde, Guo, Chunxiao   +2 more
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Lump solutions of the 2D Toda equation

Mathematical Methods in the Applied Sciences, 2020
In this research, the lump solution, which is rationally localized and decays along the directions of space variables, of a 2D Toda equation is studied. The effective method of constructing the lump solutions of this 2D Toda equation is derived, and the constraint conditions that make the lump solutions analytical and positive are obtained as well ...
Yong‐Li Sun, Wen‐Xiu Ma, Jian‐Ping Yu   +2 more
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Lump solutions to the Kadomtsev–Petviashvili equation

Physics Letters A, 2015
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Lump and Lump–Kink Soliton Solutions of an Extended Boiti–Leon–Manna–Pempinelli Equation

International Journal of Nonlinear Sciences and Numerical Simulation, 2020
Abstract In this paper, the extended Boiti–Leon–Manna–Pempinelli equation (eBLMP) is first proposed, and by Ma’s [1] method, a class of lump and lump–kink soliton solutions is explicitly generated by symbolic computations. The propagation orbit, velocity and extremum of the lump solutions on (x,y) plane are studied in detail. Interaction
Guo, Han-Dong, Xia, Tie-Cheng
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A Lump Solution in SFT

2013
A concrete example of lump solution in bosonic open string field theory is presented and discussed. It is shown that the solution satisfies the equation of motion and is not a pure gauge. The expression of its energy is written down explicitly. The value of the energy, calculated both numerically and analytically turns out to be in agreement with that ...
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Lump solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation

Computers & Mathematics with Applications, 2018
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Shou-Ting Chen, Wen-Xiu Ma
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Uniqueness of lump solution to the KP‐I equation

Proceedings of the London Mathematical Society
AbstractThe KP‐I equation has family of solutions which decay to zero at space infinity. One of these solutions is the classical lump solution, which is a traveling wave, and the KP‐I equation in this case reduces to the Boussinesq equation. In this paper we classify all the ‘lump‐type’ solutions of the Boussinesq equation.
Liu, Yong, Wei, Juncheng, Yang, Wen
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