Results 11 to 20 of about 3,120 (179)

Multi-soliton solutions of the Sawada-Kotera equation using the Hirota direct method: Novel insights into nonlinear evolution equations

Partial Differential Equations in Applied Mathematics, 2023
Recently, mathematicians, engineers, and scientists have explored the unique characteristics and potential applications of multi-solitons, which is an expanding domain of study.
A. K. M. Kazi Sazzad Hossain, M. Ali Akbar   +1 more
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Alternative solitons in the Hirota–Satsuma system via the direct method

Partial Differential Equations in Applied Mathematics, 2021
Multisolitons and multi-hump solitons are constructed for the coupled Korteweg–de Vries (cKdV) system introduced by Hirota and Satsuma (1981) in the context of the propagation of two waves interacting with different dispersion relations.
Hugo Parra Prado, Luis A. Cisneros-Ake
doaj   +4 more sources

Painlevé analysis and Hirota direct method for analyzing three novel physical fluid extended KP, Boussinesq, and KP-Boussinesq equations: Multi-solitons/shocks and lumps

Results in Engineering
Due to the extensive and diverse connections of the Kadomtsev-Petviashvili (KP) equation with various physical phenomena, such as the propagation of waves in sea and ocean water and the propagation of nonlinear waves in plasmas when two-dimensional ...
Abdul-Majid Wazwaz, Weaam Alhejaili, R.T. Matoog, Samir A. El-Tantawy   +3 more
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Solutions of the Extended Kadomtsev–Petviashvili–Boussinesq Equation by the Hirota Direct Method [PDF]

Journal of Nonlinear Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PEKCAN, ASLI, Pekcan, A.
openaire   +6 more sources

Soliton solutions of q-Toda lattice by Hirota direct method [PDF]

Advances in Difference Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burcu Silindir, Silindir, Burcu
openaire   +5 more sources

On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions

Heliyon, 2023
In this paper, the (2+1)-dimensional generalized fifth-order KdV equation and the extended (3+1)-dimensional Jimbo-Miwa equation were transformed into the Hirota bilinear forms with Hirota direct method.
Baoyong Guo, Yong Fang, Huanhe Dong
doaj   +2 more sources

Dynamical behaviours and soliton solutions of the conformable fractional Schrödinger–Hirota equation using two different methods

Journal of Taibah University for Science, 2022
The nonlinear conformable fractional Schrödinger–Hirota (NCFSH) equation, describing the propagation of optical solitons in a dispersive optical fibre, is considered and its exact solutions are investigated.
Meryem Odabasi Koprulu
doaj   +2 more sources

Multiple-soliton solutions and a generalized double Wronskian determinant to the ( 2 + 1 ) $(2+1)$ -dimensional nonlinear Schrödinger equations

Advances in Difference Equations, 2017
A ( 2 + 1 ) $(2+1)$ -dimensional nonlinear Schrödinger equation is mainly discussed. Based on the Hirota direct method and the Wronskian technique, multiple-soliton solutions and a generalized double Wronskian determinant are obtained, respectively.
Liu Gao, Li Cheng
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Analytical Solutions of the Fractional Hirota–Satsuma Coupled KdV Equation along with Analysis of Bifurcation, Sensitivity and Chaotic Behaviors

Fractal and Fractional
This paper explores the exact solutions of the fractional Hirota–Satsuma coupled KdV (fHScKdV) equation in the Beta fractional derivative. The logistic method is first proposed to construct analytical solutions for the fHScKdV equation.
Yongyi Gu, Chunling Jiang, Yongkang Lai
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Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation

Open Physics
In this article, the (3+1)-dimensional Hirota–Satsuma–Ito-like equation is investigated by the modified direct method, from which some interaction solutions among lump, stripe solitons, and Jacobi elliptic function wave solutions are obtained, which are ...
Liu Xiaotian, Zhang Yongshuai, Yang Yunqing   +2 more
doaj   +2 more sources