Results 31 to 40 of about 140,469 (332)
Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
Ain Shams Engineering Journal, 2014 In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation.
M. Eslami +2 more
doaj +1 more source
Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation [PDF]
, 2009 In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries equation.
Johnson, Mathew A.
core +5 more sources
Journal of Ocean Engineering and Science, 2018 In the present paper, the exp(−ϕ(ξ)) expansion method is applied to the fractional Broer–Kaup and approximate long water wave equations. The explicit approximate traveling wave solutions are obtained by using this method. Here, fractional derivatives are
H. Çerdik Yaslan
doaj +1 more source
Inertialess multilayer film flow with surfactant: Stability and traveling waves [PDF]
, 2016 Multilayer film flow down an inclined plane in the presence of an insoluble surfactant is investigated with particular emphasis on determining flow stability and investigating the possibility of traveling-wave solutions.
A. Adamson +5 more
core +1 more source
Traveling wave solutions of compressible fluid equations and orbital stability
AIP Advances, 2015 In this paper, we discuss the existence of traveling wave solutions for compressible fluid equations by applying the theory and method of planar dynamical system, and obtain explicit expressions for all bounded traveling wave solutions by undetermined ...
Xiang Li, Weiguo Zhang, Zhengming Li
doaj +1 more source
Dynamics of a predator–prey system with three species
Boundary Value Problems, 2018 This paper is concerned with the dynamics of a predator–prey system with three species. When the domain is bounded, the global stability of positive steady state is established by contracting rectangles.
Zhifang Bi, Shuxia Pan
doaj +1 more source
Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev-Petviashvili Equation [PDF]
, 2009 In this paper, we investigate the spectral instability of periodic traveling wave solutions of the generalized Korteweg-de Vries equation to long wavelength transverse perturbations in the generalized Kadomtsev-Petviashvili equation.
Johnson, Mathew A., Zumbrun, Kevin
core +3 more sources
QCD traveling waves at non-asymptotic energies [PDF]
, 2005 Using consistent truncations of the BFKL kernel, we derive analytical traveling-wave solutions of the Balitsky-Kovchegov saturation equation for both fixed and running coupling.
Balitsky +33 more
core +1 more source
Travelling Wave Solutions to a Gradient System [PDF]
Transactions of the American Mathematical Society, 1988 Given a system of reaction-diffusion equations where the nonlinearity is derived from a potential with certain restrictions, we use the Conley index and the connection matrix to show that there is a travelling wave solution connecting the maxima of the potential.
openaire +1 more source
Propagation of Delayed Lattice Differential Equations without Local Quasimonotonicity [PDF]
, 2014 This paper is concerned with the traveling wave solutions and asymptotic spreading of delayed lattice differential equations without quasimonotonicity.
Pan, Shuxia
core