Results 21 to 30 of about 31 (31)

The initial-value problem for a Gardner-type equation

Advanced Nonlinear Studies
Discussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry, Chen Hongqiu, Guerrero Pamela, Haidau Cristina, Pantic Sanja   +4 more
doaj   +1 more source

Local well-posedness for the two-component Benjamin-Ono equation

Advances in Nonlinear Analysis
The Cauchy problem for the two-component Benjamin-Ono equation is considered. It is shown that this problem is local well-posed in Hs(R)×Hs(R){H}^{s}\left({\mathbb{R}})\times {H}^{s}\left({\mathbb{R}}) for any s>9⁄8s\gt 9/8.
Zhao Min
doaj   +1 more source

Chaotic and quasi-periodic dynamics in nonlinear micro-strain wave systems: Exact symbolic solutions and symmetry-based analysis

Results in Engineering
This work presents a systematic theoretical and computational investigation of the micro-strain wave (MSW) model, a fundamental nonlinear evolution equation governing propagation phenomena in media with microscale deformation effects.
Mostafa M.A. Khater
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

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

Heliyon, 2023
Khater MMA.
europepmc   +1 more source

Integrability and Linear Stability of Nonlinear Waves. [PDF]

J Nonlinear Sci, 2018
Degasperis A, Lombardo S, Sommacal M.
europepmc   +1 more source

Solitary wave and other solutions for nonlinear heat equations

Open Mathematics, 2004
Nikitin Anatoly, Barannyk Tetyana
doaj   +1 more source

Lagrangian multiforms and dispersionless integrable systems. [PDF]

Lett Math Phys
Ferapontov EV, Vermeeren M.
europepmc   +1 more source