Results in Physics, 2023 In this work, the modified auxiliary equation method (MAEM) and the Riccati–Bernoulli sub-ODE method (RBM) are used to investigate the soliton solutions of the fractional complex coupled maccari system (FCCMS).
Haiqa Ehsan +4 more
doaj +1 more source
Traveling wave solutions for integro-difference systems
Journal of Differential Equations, 2015 33 ...
openaire +3 more sources
An analysis of two-layered flows in pipelines : a thesis presented in partial fulfillment of the requirements for the degree of Master of Science in Mathematics at Massey University, [PDF]
, 2003 CD is unreadableIn this thesis, we consider the two-layered fluid flow problem in a circular pipeline. The justification of the model we shall employ, namely the stratified flow model will be discussed.
Ee, Bernard
core
Travelling waves and conservation laws for highly nonlinear wave equations modelling Hertz chains
, 2017 A highly nonlinear, fourth-order wave equation that models the continuum theory of long wavelength pulses in weakly compressed, discrete, homogeneous chains with a general power-law contact interaction is studied.
Anco, Stephen C., Przedborski, Michelle
core +1 more source
Travelling wave solutions of the perturbed mKdV equation that represent traffic congestion [PDF]
, 2018 A well-known optimal velocity (OV) model describes vehicle motion along a single lane road, which reduces to a perturbed modified Korteweg-de Vries (mKdV) equation within the unstable regime.
Bando +23 more
core +2 more sources
Adaptive Hydrogels With Spatiotemporal Stiffening Using pH‐Modulating Enzymes
Advanced Functional Materials, EarlyView.The chemomechanical coupling in an adaptive hydrogel is studied to further the development of adaptive hydrogels. This coupling is achieved by embedding a pH‐modulating enzyme in a pH‐responsive hydrogel. The enzymatic reaction can be triggered locally, which generates a pH‐decreasing wave throughout the system, increasing the crosslinking density and ...
Natascha Gray +3 more
wiley +1 more source
New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation
Journal of Ocean Engineering and Science, 2023 In this work, we studied a (2 + 1)-dimensional Sawada-Kotera equation (SKE). This model depicts nonlinear wave processes in shallow water, fluid dynamics, ion-acoustic waves in plasmas and other phenomena.
Kong Debin +5 more
doaj +1 more source
An optimal path to transition in a duct [PDF]
, 2009 This paper is concerned with the transition of the laminar flow in a duct of square cross-section. Like in the similar case of the pipe flow, the motion is linearly stable for all Reynolds numbers, rendering this flow a suitable candidate for a study of ...
Biau, Damien, Bottaro, Alessandro
core +4 more sources
Light‐Actuated Fiber‐Climbing Inchworm Robot Toward Endoluminal Navigation
Advanced Functional Materials, EarlyView.A kirigami‐inspired soft inchworm robot harnesses optical energy from a customized side‐emitting optical fiber, guaranteeing its propulsion along the fiber body. The wavelength‐selective responsiveness of dye‐functionalized liquid crystal elastomers and the application of temporal illumination patterns enable sequential control of robot components. The
Antonio Lobosco +6 more
wiley +1 more source
Travelling wave solutions for the Painleve-integrable coupled KdV equations
Electronic Journal of Differential Equations, 2008 We study the travelling wave solutions for a system of coupled KdV equations derived by Lou et al [11]. In that paper, they found 5 types of Painleve integrable systems for the coupled KdV system.
Xiao-Biao Lin, Jibin Li
doaj