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Lump solution and interaction solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

Communications in Theoretical Physics, 2023
In this paper, we explore the exact solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Based on Hirota bilinear method, lump solution, periodic cross-kink solutions and bright-dark soliton solutions were ...
Wenxia Chen, Yi Wang, Lixin Tian
semanticscholar   +1 more source

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 ...
L. Bonora
semanticscholar   +2 more sources

Lump-soliton, lump-multisoliton and lump-periodic solutions of a generalized hyperelastic rod equation

Modern Physics Letters B, 2021
In this paper, we will obtain lump-soliton solution for (1[Formula: see text]+[Formula: see text]1)-dimensional generalized hyperelastic rod equation, also known as generalized KdV equation by aid of Hirota bilinear method (HBM). We also obtain lump-multisoliton (which is an interaction of lump with one kink or two kink soliton) and lump-periodic ...
S. T. R. Rizvi   +4 more
openaire   +1 more source

Rogue waves, classical lump solutions and generalized lump solutions for Sawada–Kotera-like equation

International Journal of Modern Physics B, 2022
In this work, the [Formula: see text]-dimensional Sawada–Kotera-like (SK-like) equation is derived through the generalized bilinear equation from SK equation. By using “3-2” and “3-2-2” neural network models, three trial functions are constructed. Classic lump, generalized lump solutions and new rogue wave solutions are acquired by giving a number of ...
Run-Fa Zhang   +4 more
openaire   +1 more source

Lump and lump-multi-kink solutions in the (3+1)-dimensions

Communications in Nonlinear Science and Numerical Simulation, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Si-Jia, Lü, Xing
openaire   +2 more sources

Dynamics of lump solutions, lump-kink solutions and periodic lump solutions in a (3+1)-dimensional generalized Jimbo–Miwa equation

Waves in Random and Complex Media, 2019
Under investigation in this paper is a (3+1)-dimensional generalized Jimbo–Miwa equation(gJM), which describes many interesting three dimensional nonlinear waves in physics.
Xue-Wei Yan   +3 more
openaire   +1 more source

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