A5010098171- Nonlinear Partial Differential Equations
- Nonlinear Waves and Solitons
- Mathematical and Theoretical Epidemiology and Ecology Models
- Advanced Mathematical Modeling in Engineering
- Advanced Mathematical Physics Problems
- Nonlinear Differential Equations Analysis
- Fractional Differential Equations Solutions
- Nonlinear Photonic Systems
- Advanced Differential Equations and Dynamical Systems
- Stability and Controllability of Differential Equations
- Quantum chaos and dynamical systems
- Nonlinear Dynamics and Pattern Formation
- Evolution and Genetic Dynamics
- Differential Equations and Numerical Methods
- Differential Equations and Boundary Problems
- Mathematical Biology Tumor Growth
- Numerical methods for differential equations
- COVID-19 epidemiological studies
- Quantum Mechanics and Non-Hermitian Physics
- Geometric Analysis and Curvature Flows
- Chaos control and synchronization
- Numerical methods in inverse problems
- Mathematical Dynamics and Fractals
- Stochastic processes and statistical mechanics
- stochastic dynamics and bifurcation
Institute of High Performance Computing
2024
Agency for Science, Technology and Research
2024
The University of Texas Rio Grande Valley
2015-2024
Anhui University of Science and Technology
2024
The University of Texas at Austin
2020-2024
Xuzhou University of Technology
2012
Nanjing Normal University
2012
Beijing Jiaotong University
2008
Fudan University
2008
Tianjin University of Technology and Education
2006-2007
In this paper, applying the theory of commutative algebra, we propose a new approach which currently call first-integral method to study Burgers–Korteweg–de Vries equation.
In this paper, we deal with a class of fractional abstract Cauchy problems order α ∈ (1, 2) by introducing an operator Sα which is defined in terms the Mittag-Leffler function and curve integral.Some nice properties are presented.Based on these properties, existence uniqueness mild solution classical to inhomogeneous linear semilinear established accordingly.The regularity problem also discussed.
Abstract In this article, we are concerned with multiple solutions of Schrödinger-Choquard-Kirchhoff equations involving the fractional <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>p</m:mi> </m:math> p -Laplacian and Hardy-Littlewood-Sobolev critical exponents in <m:msup> <m:mrow> <m:mi mathvariant="double-struck">R</m:mi> </m:mrow> <m:mi>N</m:mi> </m:msup> {{\mathbb{R}}}^{N} . We classify multiplicity accordance Kirchhoff term <m:mi>M</m:mi> <m:mo>(</m:mo> <m:mo>⋅</m:mo>...
In this paper, we consider a neutral predator–prey model with the Beddington–DeAngelis functional response and impulsive effect. Sufficient conditions are obtained for existence of positive periodic solutions by systematic qualitative analysis. Some known results in literature generalized.
In this paper, we consider the well-posedness and asymptotic behaviors of solutions fractional complex Ginzburg–Landau equation with initial periodic boundary conditions in two spatial dimensions. We explore existence uniqueness global smooth solution by means Galerkin method establish attractor. The estimates upper bounds Hausdorff fractal dimensions for attractor are presented.
We study the existence of positive solutions for non-autonomous Schrödinger-Poisson system: \begin{document}$\left\{ {\begin{array}{*{20}{l}} { - \Delta u + \lambda K\left( x \right)\phi = a\left( \right){{\left| \right|}^{p 2}}u}&{{\text{in }}{\mathbb{R}^3},} \\ \phi \right){u^2}}&{{\text{in \end{array}} \right.$ \end{document} where $\lambda >0$, $2 < p \le 4$ and both $K\left( x\right) $ $a\left( are nonnegative functions in $\mathbb{R}^{3}$, which satisfy given conditions, but not...
In this paper, we survey some recent advances in the study of travelling wave solutions to Burgers–Korteweg–de Vries equation. Some comments are given on existing results. A class solitary terms elliptic functions with arbitrary velocity is obtained by means first-integral method as well compatible vector fields.