Results 11 to 20 of about 8,015,190 (317)

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, Aly R. Seadawy, F. Ashraf, M. Younis, H. Iqbal, Dumitru Baleanu   +5 more
doaj   +4 more sources

Lump solution and lump-type solution to a class of water wave equation

Results in Physics, 2023
In the field of nonlinear sciences, the theory of solitons has long been regarded as one of the most significant and effective areas of research. In this research field, there are many efficient techniques for solving partial differential equations.
S. Liu, Z. Yang, A. Althobaiti, Y. Wang
doaj   +2 more sources

Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics

Advances in Difference Equations, 2021
The Hirota bilinear method is employed for searching the localized waves, lump–solitons, and solutions between lumps and rogue waves for the fractional generalized Calogero–Bogoyavlensky–Schiff–Bogoyavlensky–Konopelchenko (CBS-BK) equation.
Jalil Manafian, Onur Alp Ilhan, Ladan Avazpour, As’ad Alizadeh   +3 more
doaj   +7 more sources

Lump, interaction of lump and kink and solitonic solution of nonlinear evolution equation which describe incompressible viscoelastic Kelvin–Voigt fluid

Partial Differential Equations in Applied Mathematics, 2022
In this script, we consider the modified Oskolkov equation in incompressible viscoelastic Kelvin–Voigt fluid and fluid dynamics. A dominant direct algebraic method namely modified simple equation method (MSE) uses to retrieve various dynamical structural
M.M. Roshid, T. Bairagi, Harun-Or-Roshid, M.M. Rahman   +3 more
doaj   +2 more sources

The energy of the analytic lump solution in SFT [PDF]

, 2011
In a previous paper a method was proposed to find exact analytic solutions of open string field theory describing lower dimensional lumps, by incorporating in string field theory an exact renormalization group flow generated by a relevant operator in a ...
A Sen, A Sen, D Kutasov, D. D. Tolla, E Fuchs, E Fuchs, E Fuchs, E Witten, E Witten, EA Arroyo, EA Arroyo, I Ellwood, I Ellwood, J Kluson, J Polchinski, L Bonora, L Bonora, L Bonora, L Rastelli, L Rastelli, L. Bonora, M Kiermaier, M Kiermaier, M Kiermaier, M Murata, M Schnabl, M Schnabl, N Dunford, N Dunford, N Moeller, O-K Kwon, S Zeze, S Zeze, S. Giaccari, T Erler, T Erler, T Erler, T Erler, T Erler, Y Okawa, Y Okawa, Y Okawa, Y Okawa   +42 more
core   +3 more sources

Test of Siegel gauge for the lump solution [PDF]

Journal of High Energy Physics, 2001
We test the validity of the Siegel gauge condition for the lump solution of cubic open bosonic string field theory by checking the equations of motion of the string field components outside the Siegel gauge.
P. Mukhopadhyay, A. Sen
semanticscholar   +4 more sources

Lump, multi-lump, cross kinky-lump and manifold periodic-soliton solutions for the (2+1)-D Calogero–Bogoyavlenskii–Schiff equation [PDF]

Heliyon, 2020
A bilinear form of the (2+1)-dimensional nonlinear Calogero-Bogoyavlenskii-Schiff (CBS) model is derived using a transformation of dependent variable, which contain a controlling parameter. This parameter can control the direction, wave height and angle of the traveling wave.
Harun-Or- Roshid, Mahbub Hassan Khan, Abdul-Majid Wazwaz   +2 more
openaire   +5 more sources

Mixed lump–kink solutions to the KP equation

Computers & Mathematics with Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai-qiong Zhao, Wen-Xiu Ma
openaire   +3 more sources

Lump Solutions and Interaction Solutions for the Dimensionally Reduced Nonlinear Evolution Equation [PDF]

Complexity, 2019
In this paper, by means of the Hirota bilinear method, a dimensionally reduced nonlinear evolution equation is investigated. Through its bilinear form, lump solutions are obtained. We construct interaction solutions between lump solutions and one soliton
Baoyong Guo, Huanhe Dong, Yong Fang
doaj   +2 more sources

A Lump Solution and Its Energy

Progress of Theoretical Physics Supplement, 2011
Summary: 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 and analytically computed as far as it is possible.
L. Bonora
semanticscholar   +3 more sources