Results 51 to 60 of about 7,942,123 (324)
Erratum: the energy of the analytic lump solution in SFT [PDF]
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Bonora, L., Giaccari, S., Tolla, D. D.
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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
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Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
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
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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
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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
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Evolution of lump solutions for the KP equation [PDF]
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.
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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
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Dynamics of lump-periodic and breather waves solutions with variable coefficients in liquid with gas bubbles [PDF]
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
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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
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Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation
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
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