Results 131 to 140 of about 7,864 (230)

A search method for Hirota bilinear systems of nonlinear evolution equations

Next Research
We present a systematic search method for finding Hirota bilinear systems of nonlinear evolution equations, with emphasis on the nonlinear Schrödinger equation (NLSE). Using a known exact solution, couplings between the different terms of the differential equation are identified, which are then used to derive the bilinear system.
I. Albazlamit, L. Al Sakkaf, U. Al Khawaja   +2 more
openaire   +2 more sources

Solusi Periodik dari Persamaan Korteweg de Vries (KdV) dengan Operator Bilinier Hirota [PDF]

, 2010
Operator Bilinier Hirota atau biasa dikenal dengan Hirota Method digunakan untuk mengkonstruksi secara langsung solusi periodik dari persamaan Korteweg de Vries (KdV).
Rubiyanti, Sri
core  

Dispersive optical solitons with Schrödinger–Hirota model by trial equation method

, 2018
This paper obtains bright, dark and singular dispersive optical soliton solutions to Schrodinger-Hirota equation by the aid of trial equation method. Both Kerr and power laws of nonlinearity are studied. Singular periodic solutions are also obtained as a
Zhou, Qin, Biswas, Anjan, Alshomrani, Ali Saleh, Moshokoa, Seithuti P., Belic, Milivoj   +4 more
core   +1 more source

Bright and dark 1– soliton solutions to perturbed Schrodinger – hirota equation with power law nonlinearity via semi – inverse variation method and ansatz method

, 2017
This paper studies perturbed Schrodinger Hirota equation with power law nonlinearity by obtaining its 1 – soliton solutions via He’s semi – inverse variation method and the Ansatz method and the results reveal that these methods are very effective ones ...
S. Subhaschandra Singh
core   +1 more source

Exact Solutions to Fractional Schrödinger–Hirota Equation Using Auxiliary Equation Method

In this paper, we consider the fractional Schrödinger–Hirota (FSH) equation in the sense of a conformable fractional derivative. Through a traveling wave transformation, we change the FSH equation to an ordinary differential equation.
Xianji Meng, Guangyuan Tian
core   +1 more source

Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations [PDF]

, 2012
This article illustrates Hirota-Sato formalism by establishing that Hirota’s direct method is derivable from Sato theory. This formalism is considered via Maya diagrams and used to describe the Kadomtsev-Petviashvili (KP), Korteweg-de Vries (KdV) and ...
Abdul Aziz, Zainal, Ali, Noor Aslinda
core  

Complex soliton dynamics in the M-truncated fractional nonlinear long-wave system: lump, breather and M-shape structures

Boundary Value Problems
In this study, we investigate the fractional modified regularized long-wave Burger (fMRLW–Burger) equation, a governing model widely used to explain the evolution of nonlinear surface water waves.
Badr Saad T. Alkahtani
doaj   +1 more source

Construction of Nth-order rogue wave solutions for Hirota equation by means of bilinear method

, 2014
In this work, we focus on the construction of Nth-rouge wave solutions for the Hirota equation by utilizing the bilinear method. The formula can be represented in terms of determinants.
Gui Mu, Zhenyun Qin
core  

A novel endoscopic plastic stent exchange technique using a loop cutter in malignant afferent loop obstruction: a method applicable to various pancreatobiliary situations. [PDF]

Endoscopy
Koiwai A, Hirota M, Inomata N, Miyashita Y, Itoh T, Satoh K.   +5 more
europepmc   +1 more source

Double-balloon (CANDIS) Retrograde Transvenous Obliteration Improves Hepatic Functional Reserve Compared with the Conventional Method. [PDF]

Interv Radiol (Higashimatsuyama)
Aoki T, Tsurusaki M, Nishida N, Morita M, Chishina H, Takita M, Hagiwara S, Minami Y, Ueshima K, Kudo M.   +9 more
europepmc   +1 more source