Results 61 to 70 of about 227 (74)

A Centre-Stable Manifold for the Energy-Critical Wave Equation in R^3 in the Symmetric Setting [PDF]

, 2012
Consider the focusing semilinear wave equation in R^3 with energy-critical nonlinearity \partial_t^2 \psi - \Delta \psi - \psi^5 = 0, \psi(0) = \psi_0, \partial_t \psi(0) = \psi_1.
Beceanu, Marius
core   +2 more sources

Diverse soliton wave profile assessment to the fractional order nonlinear Landau-Ginzburg-Higgs and coupled Boussinesq-Burger equations

Results in Physics
The space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder, Mohammad Asif Arefin, Khaled A. Gepreel, M. Hafiz Uddin, M. Ali Akbar   +4 more
doaj   +1 more source

Computational analysis and wave propagation behavior of hyper-geometric soliton waves in plasma physics via the auxiliary equation method

Partial Differential Equations in Applied Mathematics
This study investigate the widely used nonlinear fractional Kairat-II (K-II) model, which is used to explain the differential geometry of curves and equivalence aspects.
M. Al-Amin, M. Nurul Islam, M. Ali Akbar
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

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

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

Quasi-periodic, strange chaotic behaviors, and soliton solutions of the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Applied Mathematics in Science and Engineering
Soliton solutions and chaotic analysis in integrable equations have become a hot topic in recent years. This work presents the qualitative dynamics and analytical solutions of (4+1)-D Boiti-Leon-Manna-Pempinelli (BLMP) model.
Khaled Aldwoah, W. Eltayeb Ahmed, Mohammed Alsharafi, Alaa Mustafa, E. I. Hassan, Ria H. Egami   +5 more
doaj   +1 more source

Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation.

Heliyon, 2023
Khater MMA.
europepmc   +1 more source

Solitary wave solutions of the fourth order Boussinesq equation through the exp(-Ф(η))-expansion method. [PDF]

Springerplus, 2014
Akbar MA, Hj Mohd Ali N.
europepmc   +1 more source

Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation. [PDF]

Springerplus, 2014
Islam MH, Khan K, Akbar MA, Salam MA.
europepmc   +1 more source