Results 31 to 40 of about 697 (208)

Solitone solutions complexifications of the Korteweg - de Vriz equation

Наука. Инновации. Технологии, 2022
The Hirota method for construction of soliton solutions is applied to the complexification of the Korteweg-de Vries equation. To use the method, the complex equation is replaced by a system of two third-order equations into two real functions, which ...
Tatyana Valentinovna Redkina
doaj  

New lump and interaction soliton, N-soliton solutions and the LSP for the (3 + 1)-D potential-YTSF-like equation

Results in Physics, 2021
In this work, we established some exact solutions for the (3 + 1)-dimensional potential-Yu-Toda-Sasa-Fukuyama (YTSF)-like equation with p=3 and p=5 which are considered based on the generalized Hirota bilinear method.
Lei Huang, Jalil Manafian, Gurpreet Singh, Kottakkaran Sooppy Nisar, Mahyuddin K.M. Nasution   +4 more
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Introduction to the Hirota Bilinear Method [PDF]

, 2004
We give an elementary introduction to Hirota's direct method of constructing multisoliton solutions to integrable nonlinear evolution equations. We discuss in detail how this works for equations in the Korteweg-de Vries class. We also show how Hirota's method can be used to search for new integrable evolution equations by testing for the existence of 3-
openaire   +2 more sources

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
doaj   +1 more source

Exact solution of some nonlinear differential equations by Hirota method [PDF]

, 2005
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2005Includes bibliographical references (leaves: 45-47)Text in English; Abstract: Turkish and Englishix,60 leavesThe Hirota Bilinear Method is applied to construct exact analytical one ...
Güçoğlu, Deniz Hasan
core   +1 more source

Breather wave and double-periodic soliton solutions for a (2+1)-dimensional generalized Hirota–Satsuma–Ito equation

Open Physics, 2022
In this work, a (2+1)-dimensional generalized Hirota–Satsuma–Ito equation realized to represent the propagation of unidirectional shallow water waves is investigated.
Zhang Yun-Xia, Xiao Li-Na
doaj   +1 more source

Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

Abstract and Applied Analysis, 2014
The bilinear form, bilinear Bäcklund transformation, and Lax pair of a (2 + 1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived through Bell polynomials. The integrable constraint conditions on variable coefficients
Wen-guang Cheng, Biao Li, Yong Chen
doaj   +1 more source

The Multi-Soliton Solutions to The KdV Equation by Hirota Method [PDF]

, 2014
The Hirota bilinear method is used to solve the KdV model.
MA, Lixin
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Shifted nonlocal Kundu type equations: Soliton solutions

Partial Differential Equations in Applied Mathematics, 2022
We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems.
Aslı Pekcan
doaj   +1 more source

Stability Analysis and Soliton Solutions of the Nonlinear Evolution Equation by Homoclinic Technique Based on Hirota Bilinear Form

, 2023
The novel KdV model plays a significant part in the discovery of a variety of nonlinear ion acoustic wave and harmonic crystal phenomena. The new homoclinic method based on the Hirota bilinear form is used to create the bilinear form of the new KdV ...
Yokus, Asif, Isah, Muhammad Abubakar
core   +1 more source