Results 1 to 10 of about 77 (33)

Multi–solitons, lumps, and breath solutions of the water wave propagation with surface tension via four recent computational schemes

Ain Shams Engineering Journal, 2021
This research explores the complex and physical behavior, using four different theoretical methods, of water wave propagation with surface tension. A modern Benneye-Luke (BL) algorithm is used to identify a variety of unobtained distinct wave solution ...
Mostafa M.A. Khater, Mustafa Inc, K.S. Nisar, Raghda A.M. Attia   +3 more
doaj   +1 more source

The agreement between novel exact and numerical solutions of nonlinear models

Partial Differential Equations in Applied Mathematics, 2023
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj   +1 more source

On new computational and numerical solutions of the modified Zakharov–Kuznetsov equation arising in electrical engineering

Alexandria Engineering Journal, 2020
In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park, Mostafa M.A. Khater, Abdel-Haleem Abdel-Aty, Raghda A.M. Attia, Dianchen Lu   +4 more
doaj   +1 more source

Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group

Open Physics, 2016
The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel, Pop Camelia, Petrişor Camelia   +2 more
doaj   +1 more source

Investigating traveling wave structures in the van der Waals normal form for fluidized granular matter through the modified S-expansion method

Partial Differential Equations in Applied Mathematics
This research discovers traveling wave solutions (TWSs) of the van der Waals normal form for fluidized granular matter using the modified S-expansion (MS-E) method.
Hamida Parvin, Md. Nur Alam, Md. Abdullah Bin Masud, Md. Jakir Hossen   +3 more
doaj   +1 more source

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense

Partial Differential Equations in Applied Mathematics
This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme.
Md. Nur Alam
doaj   +1 more source

Study of the parametric effect of the wave profiles of the time-space fractional soliton neuron model equation arising in the topic of neuroscience

Partial Differential Equations in Applied Mathematics
Time-space fractional nonlinear problems (T-SFNLPs) play a crucial role in the study of nonlinear wave propagation. Time-space nonlinearity is prevalent across various fields of applied science, nonlinear dynamics, mathematical physics, and engineering ...
Md. Nur Alam, Md. Azizur Rahman
doaj   +1 more source

Computation of the Analytic Center of the Solution Set of the Linear Matrix Inequality Arising in Continuous- and Discrete-Time Passivity Analysis. [PDF]

Vietnam J Math, 2020
Bankmann D, Mehrmann V, Nesterov Y, Van Dooren P.   +3 more
europepmc   +1 more source

On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians [PDF]

, 2023
The author is grateful to H. Eliasson, T. Seara, and F. Trujillo for valuable discussions and to the referee for useful comments. This work has been supported by the Juan de la Cierva-Formación Program (FJC2021-044720-I) and the Severo Ochoa and María de
Farré Puiggalí, Gerard
core   +1 more source

On the dynamics of coupled oscillators and its application to the stability of suspension bridges [PDF]

, 2022
We describe and provide a computer assisted proof of the bifurcation graph for a system of coupled nonlinear oscillator described in a model of a bridge.
Gianni Arioli
core   +1 more source