Results 51 to 60 of about 4,699 (155)

Lump solutions of the fractional Kadomtsev–Petviashvili equation

Fractional Calculus and Applied Analysis
AbstractOf concern is the fractional Kadomtsev–Petviashvili (fKP) equation and its lump solution. As in the classical Kadomtsev–Petviashvili equation, the fKP equation comes in two versions: fKP-I (strong surface tension case) and fKP-II (weak surface tension case).
Handan Borluk, Gabriele Bruell, Dag Nilsson   +2 more
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Lump Solutions of the Modified Kadomtsev-Petviashvili-I Equation

East Asian Journal on Applied Mathematics, 2020
Summary: The modified Kadomtsev-Petviashvili-I equation is studied by the Hirota bilinear method. Certain lump solutions of this equation are found via the ansatz technique. Rational solutions presented include plane bounded lumps, which do not decay in all directions in the space.
Yong, Xuelin, Chen, Yuning, Huang, Yehui, Ma, Wen-Xiu   +3 more
openaire   +1 more source

Soliton, breather, lump and their interaction solutions of the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation

Advances in Difference Equations, 2019
In this work, the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation is investigated. Hirota’s bilinear method is used to determine the N-soliton solutions for this equation, from which the M-lump solutions are obtained by using long ...
Yaqing Liu, Xiao-Yong Wen
doaj   +1 more source

New lump solutions of the (3+1)-dimensional generalized Camassa–Holm Kadomtsev–Petviashvili (gCH-KP) equation

Results in Physics
In this paper, we investigate lump solutions of the (3+1)-dimensional gCH-KP equation employing the Hirota’s bilinear method and symbolic computation method.
Bin He
doaj   +1 more source

Lump type solutions: Bäcklund transformation and spectral properties

Physica D: Nonlinear Phenomena
25 ...
Yong Liu, Jun-Cheng Wei, Wen Yang
openaire   +2 more sources

Solitons, Lumps, Breathers, and Interaction Phenomena for a (2+1)-Dimensional Variable-Coefficient Extended Shallow-Water Wave Equation

Mathematics
In this paper, soliton solutions, lump solutions, breather solutions, and lump-solitary wave solutions of a (2+1)-dimensional variable-coefficient extended shallow-water wave (vc-eSWW) equation are obtained based on its bilinear form.
Tianwei Qiu, Zhen Wang, Xiangyu Yang, Guangmei Wei, Fangsen Cui   +4 more
doaj   +1 more source

A Study on Lump Solutions to a Generalized Hirota-Satsuma-Ito Equation in (2+1)-Dimensions

Complexity, 2018
The Hirota-Satsuma-Ito equation in (2+1)-dimensions passes the three-soliton test. This paper aims to generalize this equation to a new one which still has abundant interesting solution structures.
Wen-Xiu Ma, Jie Li, Chaudry Masood Khalique   +2 more
doaj   +1 more source

Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation

Advances in Mathematical Physics, 2018
A (2+1)-dimensional fifth-order KdV-like equation is introduced through a generalized bilinear equation with the prime number p=5. The new equation possesses the same bilinear form as the standard (2+1)-dimensional fifth-order KdV equation.
Sumayah Batwa, Wen-Xiu Ma
doaj   +1 more source

Shallow-Water Wave Dynamics: Butterfly Waves, X-Waves, Multiple-Lump Waves, Rogue Waves, Stripe Soliton Interactions, Generalized Breathers, and Kuznetsov–Ma Breathers

Fractal and Fractional
A nonlinear (3+1)-dimensional nonlinear Geng equation that can be utilized to explain the dynamics of shallow-water waves in fluids is given special attention.
Sarfaraz Ahmed, Ujala Rehman, Jianbo Fei, Muhammad Irslan Khalid, Xiangsheng Chen   +4 more
doaj   +1 more source

Dynamics Behavior of Lumps and Interaction Solutions of a (3+1)-Dimensional Partial Differential Equation

Complexity, 2019
In this work, we investigate a linear partial differential equation in (3+1)-dimensions. We construct lump solutions which localize in all directions in the (x,y,z)-space.
Bo Ren
doaj   +1 more source