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The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson-Boltzmann Theory for Molecular Solvation

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......

The Blow-Up and Global Existence of Solution to Caputo-Hadamard Fractional Partial Differential Equation with Fractional Laplacian

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......

Small Permanent Charge Effects on Individual Fluxes via Poisson-Nernst-Planck Models with Multiple Cations

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......

Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates

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 ......

Stability of Elliptic Solutions to the sinh-Gordon Equation

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......

Doubly Localized Two-Dimensional Rogue Waves in the Davey-Stewartson I Equation

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......

Impact of State-Dependent Dispersal on Disease Prevalence

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 ......

Bifurcations and Synchronization in Networks of Unstable Reaction-Diffusion Systems

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......

Well-Posedness of Solutions for the Sixth-Order Boussinesq Equation with Linear Strong Damping and Nonlinear Source

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 ......

The Limit Cycles of the Higgins-Selkov Systems

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......

Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation

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 ......

Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation

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......

Periodic Solutions of Stochastic Differential Equations Driven by Levy Noises

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......

Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices

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......

Phytoplankton Competition for Nutrients and Light in a Stratified Lake: A Mathematical Model Connecting Epilimnion and Hypolimnion

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......

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