Results 71 to 80 of about 6,221 (189)

Application of the simplest equation method to some time-fractional partial differential equations

Ain Shams Engineering Journal, 2013
In this paper, we establish exact solutions for some time fractional differential equations. The simplest equation method is used to construct the exact solutions of nonlinear fractional Klein–Gordon equation, Generalized Hirota–Satsuma coupled KdV ...
N. Taghizadeh, M. Mirzazadeh, M. Rahimian, M. Akbari   +3 more
doaj   +1 more source

The Causal Relationship Between Jurisdiction Size and Institutional Quality

Journal of Regional Science, Volume 66, Issue 2, Page 685-702, March 2026.
ABSTRACT While the relationship between jurisdiction size and economic and electoral outcomes has been extensively studied, its causal impact on institutional capacity and quality remains unexplored. Leveraging the mergers of 197 Italian municipalities, we investigate changes in administrative quality using the Municipal Administration Quality Index ...
Augusto Cerqua, Costanza Giannantoni, Federico Zampollo   +2 more
wiley   +1 more source

Constructing a supersymmetric integrable system from the Hirota method in superspace [PDF]

Nuclear Physics B, 2004
An N=1 supersymmetric system is constructed and its integrability is shown by obtaining three soliton solutions for it using the supersymmetric version of Hirota's direct method.
openaire   +2 more sources

BALLAST study: A multicentre, open‐label, randomized‐controlled, 52‐week clinical trial of the efficacy and safety of luseogliflozin in older Japanese adults with type 2 diabetes receiving leucine‐enriched amino acid supplementation and physical exercise programme

Diabetes, Obesity and Metabolism, Volume 28, Issue 4, Page 3439-3444, April 2026.
Yoshihiro Takahashi, Makoto Hayashi, Takehiro Kato, Yukio Horikawa, Shin Tsunekawa, Hitoshi Kuwata, Yutaka Seino, Ryota Ogata, Kenta Murotani, Daisuke Yabe, BALLAST Study Group, Takehiro Kato, Makoto Hayashi, Hisashi Daido, Kouji Yamada, Takeshi Shimada, Kazuhisa Takami, Akihiko Sasaki, Toshiro Shibata, Shin‐ichi Kawachi, Nobutoshi Fushimi, Hiroyuki Niwa, Tomiko Horiya, Kijyun Nagata, Shun Ito   +24 more
wiley   +1 more source

Hirota D-operator forms, multiple soliton waves, and other nonlinear patterns of a 2D generalized Kadomtsev–Petviashvili equation

Alexandria Engineering Journal
In the present paper, extensive research is conducted on a 2D generalized Kadomtsev–Petviashvili (2D-gKP) equation which models water waves with long wavelengths.
T. Umar, K. Hosseini, B. Kaymakamzade, Salah Boulaaras, M.S. Osman   +4 more
doaj   +1 more source

A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations

Journal of Applied Mathematics, 2013
A new fractional subequation method is proposed for finding exact solutions for fractional partial differential equations (FPDEs). The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. As applications, abundant exact
Fanwei Meng, Qinghua Feng
doaj   +1 more source

The Hirota direct method

, 2020
The search for integrability of nonlinear partial diï¬erential and diï¬erenceequations includes the study on multi-soliton solutions. One of the most fa-mous 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 ex-amples.
openaire   +1 more source

Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) [PDF]

Computational Ecology and Software, 2014
In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV ...
Hafiz Abdul Wahab, Tahir Khan, Muhammad Shakil, et al.   +2 more
doaj  

Chaotic dynamics and soliton structures of the (3+1)-dimensional Hirota model with application to secure image encryption

Boundary Value Problems
This work explores complex dynamical analysis of a new (3+1)-dimensional Hirota model, which has not yet studied in the literature. The wave transformation approach is utilized and the proposed model is reduced into system of ordinary differential ...
Mati ur Rahman, Nehad Ali Shah
doaj   +1 more source

Variational Iteration Method for the Hirota-Satsuma Model Using He’s Polynomials

Zeitschrift für Naturforschung A, 2010
This paper out lines the implementation of the variational iteration method using He’s polynomials (VMHP) for solving the Hirota-Satsuma model which occurs quite often in applied sciences. Numerical results show that the proposed VIMHP is quite efficient.
Yildirim, Ahmet, Mohyud-Din, Syed Tauseef   +1 more
openaire   +2 more sources