期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (6)
In a continuum model of the solvation of charged molecules in an aqueous solvent, the classical Poisson-Boltzmann (PB) theory for the electrostatics o......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (5)
This paper is devoted to studying the blow-up and global existence of the solution to a semilinear time-space fractional diffusion equation, where the......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (3)
A quasi-one-dimensional Poisson-Nernst-Planck system for ionic flow through a membrane channel is studied. Nonzero but small permanent charge, the maj......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (5)
The any multi-component nonlinear Schrodinger (alias n-NLS) equations with nonzero boundary conditions are studied. We first find the fundamental and ......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (4)
Using the integrability of the sinh-Gordon equation, we demonstrate the spectral stability of its elliptic solutions. With the first three conserved q......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (4)
Doubly localized two-dimensional rogue waves for the Davey-Stewartson I equation in the background of dark solitons or a constant, are investigated by......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (5)
Based on a susceptible-infected-susceptible patch model, we study the influence of dispersal on the disease prevalence of an individual patch and all ......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (2)
This article is devoted to the analysis of the dynamics of a complex network of unstable reaction-diffusion systems. We demonstrate the existence of a......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (5)
The object of this paper is to study a sixth-order Boussinesq equation with dispersive, linear strong damping and nonlinear source by using potential ......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (5)
In this paper, we investigate the problem of limit cycles for general Higgins-Selkov systems with degree n + 1. In particular, we first prove the uniq......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (3)
We consider the periodic standing waves in the derivative nonlinear Schrodinger (DNLS) equation arising in plasma physics. By using a newly developed ......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (2)
In this paper, we study the stability and logarithmic decay of the solutions to fractional differential equations (FDEs). Both linear and nonlinear ca......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (2)
In this paper, we first show the well-posedness of SDEs driven by Levy noises under mild conditions. Then, we consider the existence and uniqueness of......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (2)
In this article, we consider the generalised two-parameter Cauchy two-matrix model and the corresponding integrable lattice equation. It is shown that......
期刊: JOURNAL OF NONLINEAR SCIENCE, 2021; 31 (2)
A mathematical model connecting epilimnion and hypolimnion is proposed to describe the competition of phytoplankton for nutrients and light in a strat......