Results 51 to 60 of about 7,864 (230)
In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt +6 more
doaj +1 more source
Non classical interaction aspects to a nonlinear physical model
This study deals the dynamics of waves to the conformable fractional (2+1)-dimensional Nizhnik–Novikov–Veselov (NNV) equations. The (2+1)-dimensional NNV equations are the isotropic Lax integrable extension of the (1+1)-dimensional Korteweg–de Vries ...
Hajar F. Ismael +5 more
doaj +1 more source
In this article, the two variable (G′/G,1/G)-expansion method is suggested to investigate new and further general multiple exact wave solutions to the Drinfeld-Sokolov-Satsuma-Hirota (DSSH) equation and the shallow water wave equation which arise in ...
H.M.Shahadat Ali +2 more
doaj +1 more source
New interaction solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation
This study aims to determine novel analytical lump solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation through conducting symbolic computations using the Hirota direct method.
Fei Long +4 more
doaj +1 more source
Application of dynamic modelling and model‐based predictive control to enhance a cooling tower
Model predictive control (MPC) applied to improve the operation of cooling towers. Abstract Model predictive control (MPC) differs from traditional feedback control by making predictions within a time horizon, providing better control actions for the process.
Douglas de Almeida Giardini +4 more
wiley +1 more source
A series of new soliton solutions are presented for the inhomogeneous variable coefficient Hirota equation by using the Riemann Hilbert method and transformation relationship.
Zhou, Huijuan, Chen, Yong
core +1 more source
Chiral tri‐ and pentahydroxy spirocyclopentane‐indolizidines were synthesized using lithium diisopropylamide “LDA” promoted diallylation and tetrahydrofuran “THF” ring‐opening in a one‐pot procedure as a key step. The sequence leading to the targeted hydroxy‐spiroindolizidines was achieved by cis‐dihydroxylation followed by reduction of the enamine and
Paula Fraňová +6 more
wiley +1 more source
Results relating to Hirota method and singularity analysis on some nonlinear waves equations [PDF]
This article investigates on the connection between singularity analysis and Hirota method i.e. a direct method to obtain the multi-soliton solutions of nonlinear waves equations.
Chia, Chee Pen, Abd. Aziz, Zainal
core +1 more source
This study reports the exceptional preservation of the Eocene freshwater bivalve Batissa sitakaraensis from Hokkaido, Japan. Multimodal analyses reveal that both the aragonitic shell mineralogy and the delicate organic periostracum retain their original structural and chemical characteristics after millions of years.
Taro Yoshimura +4 more
wiley +1 more source
We systematically investigate the nonlocal Hirota equation with nonzero boundary conditions via Riemann-Hilbert method and multi-layer physics-informed neural networks algorithm.
Peng, Wei-Qi, Chen, Yong
core +1 more source

