Results 51 to 60 of about 7,942,123 (324)

Erratum: the energy of the analytic lump solution in SFT [PDF]

open access: yesJournal of High Energy Physics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bonora, L., Giaccari, S., Tolla, D. D.
openaire   +2 more sources

Lump solutions to an integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations in shallow water

open access: yesResults in Physics, 2023
This study uses the Hirota bilinear method and Maple, a symbolic computation program, to derive lump solutions for a new integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations.
Shao-Wen Yao   +4 more
doaj   +1 more source

Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]

open access: yes, 2000
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng   +8 more
core   +1 more source

Lump, lump-trigonometric, breather waves, periodic wave and multi-waves solutions for a Konopelchenko-Dubrovsky equation arising in fluid dynamics

open access: yes, 2023
In this paper, we get certain the lump-trigonometric solutions and rogue waves with predictability of a (2+1)-dimensional Konopelchenko-Dubrovsky equation in fluid dynamics with the assistance of Maple based on the Hirota bilinear form.
İLHAN, ONUR ALP   +4 more
core   +1 more source

Solitons, Breathers, and Lump Solutions to the (2 + 1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation

open access: yesComplex, 2021
In this paper, a generalized (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers
Hongcai Ma, Q. Cheng, A. Deng
semanticscholar   +1 more source

Evolution of lump solutions for the KP equation [PDF]

open access: yesWave Motion, 1996
Abstract The two (space)-dimensional generalisation of the Korteweg-de Vries (KdV) equation is the Kadomtsev-Petviashvili (KP) equation. This equation possesses two solitary wave type solutions. One is independent of the direction orthogonal to the direction of propagation and is the soliton solution of the KdV equation extended to two space ...
Minzoni, A. A., Smyth, N. F.
openaire   +1 more source

Exact and explicit traveling wave solution to the time-fractional phi-four and (2+1) dimensional CBS equations using the modified extended tanh-function method in mathematical physics

open access: yesPartial Differential Equations in Applied Mathematics, 2021
This current study’s primary aim is to discover new and exact traveling wave solutions to the time-fractional phi-four equation and the (2+1) dimensional Calogero–Bogoyavlanskil schilf (CBS) equation in the perspective of nonlinear traveling wave ...
Lohani Md. Badrul Alam   +2 more
doaj   +1 more source

Dynamics of lump-periodic and breather waves solutions with variable coefficients in liquid with gas bubbles [PDF]

open access: yes, 2021
Lump solutions are empirical rational function solutions found in all directions in space. One of the essential solutions to both linear and nonlinear partial differential equations is lump solutions.
‪Sulaiman‬, Tukur Abdulkadir   +1 more
core   +1 more source

N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation

open access: yes, 2021
Under investigation in this paper is the generalized (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation. Based on the bilinear Hirota method, the M-lump solution and N-soliton solution are constructed by giving some special activation ...
Zhou, Xuejun   +4 more
core   +1 more source

Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation

open access: yesAdvances in Mathematical Physics, 2022
Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare.
Bao Wang, Zhiqiang Chen
doaj   +1 more source

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