Results 31 to 40 of about 659,155 (253)

Interaction solution to the (3+1)-D negative-order KdV first structure

Partial Differential Equations in Applied Mathematics, 2023
We derive N-solitons and interaction solution for the (3+1)-D negative-order KdV first structure that arises in shallow-water waves. We use the bilinear scheme and the simplified Hirota technique for this solution. From the multiple solitons solution, we
Mohammad Safi Ullah
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Collision phenomena among the solitons, periodic and Jacobi elliptic functions to a (3+1)-dimensional Sharma-Tasso-Olver-like model

Results in Physics, 2022
In this manuscript, we consider a (3+1)-dimensional Sharma-Tasso-Olver-like (STOL) model, which can be used to describe dispersive wave phenomena in optics, plasmas, quantum physics, and others.
Mohammad Safi Ullah, Harun-Or-Roshid, Fahad Sameer Alshammari, M. Zulfikar Ali   +3 more
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Moduli Spaces of Lumps on Real Projective Space [PDF]

, 2015
Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement.
Muhamed, Abera A, Abera A. Muhamed, Steffen Krusch, Krusch, Steffen   +3 more
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New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation

Advances in Mathematical Physics, 2019
Based on Hirota’s bilinear structure, we evolute a new protuberance type arrangement of the (3+1)-dimensional Boiti-Boiti-Leon-Manna-Pempinelli equation, which depicts nonlinear wave spreads in incompressible fluid.
Mohamed R. Ali, Wen-Xiu Ma
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Multiple-order line rogue wave, lump and its interaction, periodic, and cross-kink solutions for the generalized CHKP equation

Propulsion and Power Research, 2021
The multiple-order line rogue wave solutions method is emp loyed for searching the multiple soliton solutions for the generalized (2 + 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili (CHKP) equation, which contains first-order, second-order, and third-
Yufeng Qian, Jalil Manafian, Sherin Youns Mohyaldeen, Liqaa S. Esmail, Sergey Alekseevich Gorovoy, Gurpreet Singh   +5 more
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Novel physical nonlinear structures in Saturn’s magnetosphere: Ion-acoustic solitons, lumps, and horseshoe-like nonlinear waves [PDF]

AIP Advances
In this paper, new analytical physical solutions to the Kadomtsev–Petviashvili–Bergers’ (KPB) equation in the multicomponent plasmas of Saturn are reported.
Weaam Alhejaili, Omer A. O. Gassim, Reda E. Tolba   +2 more
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N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation

, 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, Tuguz, Nalbiy Salikhovich, İLHAN, ONUR ALP, Singh, Gurpreet, Manafian, Jalil   +4 more
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Bifurcation solitons, Y-type, distinct lumps and generalized breather in the thermophoretic motion equation via graphene sheets

Alexandria Engineering Journal
Learned from wrinkle wave motions, we concentrated on bifurcation phenomena in substrate-supported graphene sheets by obtaining the bifurcation solitons of thermophoretic motion equation.
Aly R. Seadawy, Ali Ahmad, Syed T.R. Rizvi, Sarfaraz Ahmed   +3 more
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New Periodic Wave, Cross-Kink Wave, Breather, and the Interaction Phenomenon for the (2 + 1)-Dimensional Sharmo–Tasso–Olver Equation

Complexity, 2020
In this paper, with the aid of symbolic computation, several kinds of exact solutions including periodic waves, cross-kink waves, and breather are proposed by using a trilinear form for the (2 + 1)-dimensional Sharmo–Tasso–Olver equation.
Hongcai Ma, Caoyin Zhang, Aiping Deng
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Peculiarities of resonant interactions of lump chains within the KP1 equation

, 2022
Using the Hirota bilinear method, we derive resonant solutions to the KP1 equation. Solutions describe lump chains differently oriented in (x, y)-plane.
Li, Biao, Stepanyants, Yury, Zhang, Zhao, Chen, Junchao, Guo, Qi   +4 more
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