Results 91 to 100 of about 6,361 (199)

Combined Exp-Function Ansatz Method and Applications

Abstract and Applied Analysis, 2013
Our aim is to present a combined Exp-function ansatz method. This method replaces the traditional assumptions of multisolitons by a combination of the hyperbolic functions and triangle functions in Hirota bilinear forms of nonlinear evolution equation ...
Gui Mu, Jun Liu, Zhengde Dai, Xi Liu
doaj   +1 more source

Unifying the QBO, MJO Shallow‐to‐Deep Convection Transitions, and Mesoscale Convective Systems

Geophysical Research Letters, Volume 53, Issue 14, 28 July 2026.
Abstract This study investigates Madden‐Julian Oscillation (MJO) convective structures to better understand how the Quasi‐biennial Oscillation (QBO) impacts MJO propagation. We find that during the QBO easterly (QBOE) phase, MJO events exhibit convective features that are highly favorable for propagation.
Kai Huang, Chih‐Chieh‐Jack Chen, Mitchell Moncrieff, Jadwiga H. Richter   +3 more
wiley   +1 more source

Numerical simulations for fractional Hirota–Satsuma coupled Korteweg–de Vries systems

Open Physics
In this investigation, the fractional Hirota–Satsuma coupled Korteweg–de Vries (KdV) problem is solved using two modern semi-analytic techniques known as the Aboodh residual power series method (ARPSM) and Aboodh transform iteration method (ATIM).
Ganie Abdul Hamid, Noor Saima, Al Huwayz Maryam, Shafee Ahmad, El-Tantawy Samir A.   +4 more
doaj   +1 more source

The Hirota direct method

, 2016
The search for integrability of nonlinear partial differential and difference equations includes the study on multi-soliton solutions. One of the most famous method to construct multi-soliton solutions is the Hirota direct method. In this thesis, we explain this method in detail and apply it to explicit examples.
openaire   +1 more source

Exploring soliton dynamics and wave interactions in an extended Kadomtsev-Petviashvili-Boussinesq equation

Ain Shams Engineering Journal
This research investigates the extended Kadomtsev-Petviashvili-Boussinesq equation, relevant in numerous scenarios involving dissipative media. To initiate the analysis, a Hirota bilinear form is applied, leading to a Bäcklund transformation for the ...
Nauman Raza, Adil Jhangeer, Zeeshan Amjad, Beenish Rani, Dumitru Baleanu   +4 more
doaj   +1 more source

The Conservative Numerical Scheme for the Hirota Equation

Mathematics
In this paper, we derive a semi-discrete scheme using the central difference method, which perfectly preserves the conservation of mass and energy for the Hirota equation.
Jinqi Zhang, Xianggui Li, Dongying Hua
doaj   +1 more source

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

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

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

Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]

Sci Rep
Hussein HH, Mekawey H, Elsheikh A.
europepmc   +1 more source