Results 31 to 40 of about 11,033,514 (203)
Mathematics, 2022 In this paper, the Hirota bilinear method, which is an important scheme, is used. The equation of the shallow water wave in oceanography and atmospheric science is extended to (3+1) dimensions, which is a well-known equation. A lot of classes of rational
Ruijuan Li +5 more
doaj +1 more source
Controllable forms for stabilising pole assignment design of generalised bilinear systems [PDF]
, 2011 Bilinear structures are able to represent nonlinear phenomena more accurately than linear models, and thereby help to extend the range of satisfactory control performance.
K.J. Burnham +8 more
core +5 more sources
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
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
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 +4 more
doaj +1 more source
Novel physical nonlinear structures in Saturn’s magnetosphere: Ion-acoustic solitons, lumps, and horseshoe-like nonlinear waves [PDF]
AIP AdvancesIn this paper, new analytical physical solutions to the Kadomtsev–Petviashvili–Bergers’ (KPB) equation in the multicomponent plasmas of Saturn are reported.
Weaam Alhejaili +2 more
doaj +1 more source
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
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
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
Advances in Mathematical Physics, 2015 The relations between Dp-operators and multidimensional binary Bell polynomials are explored and applied to construct the bilinear forms with Dp-operators of nonlinear equations directly and quickly.
Jingzhu Wu, Xiuzhi Xing, Xianguo Geng
doaj +1 more source