Results 1 to 10 of about 101 (55)

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

Integrability and strong normal forms for non-autonomous systems in a neighbourhood of an equilibrium [PDF]

The paper deals with the problem of existence of a convergent "strong" normal form in the neighbourhood of an equilibrium, for a finite dimensional system of differential equations with analytic and time-dependent non-linear term.
Alessandro Fortunati, Berdichevsky V., Chierchia L., Dettman J. W., Giorgilli A., Giorgilli A., Poincaré H., Pustyl’nikov L. D., Siegel C. L., Stephen Wiggins   +9 more
core   +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

Global Kolmogorov tori in the planetary N-body problem. Announcement of result [PDF]

We improve a result in [L. Chierchia and G. Pinzari, Invent. Math. 2011] by proving the existence of a positive measure set of $(3n-2)$--dimensional quasi--periodic motions in the spacial, planetary $(1+n)$--body problem away from co--planar, circular ...
Pinzari, Gabriella
core   +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

Negligibility of small divisor effects in the normal form theory for nearly-integrable Hamiltonians with decaying non-autonomous perturbations [PDF]

The paper deals with the problem of the existence of a normal form for a nearly-integrable real-analytic Hamiltonian with aperiodically time-dependent perturbation decaying (slowly) in time.
Fortunati, Alessandro, Wiggins, Stephen
core   +1 more source