New exact solutions of parabolic equations with quadratic non-linearities

Article Properties
Refrences
Title Journal Journal Categories Citations Publication Date
The Kuramoto-Sivashinsky equation: A bridge between PDE'S and dynamical systems Physica D: Nonlinear Phenomena
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
 208 1986
Positivity versus localization in degenerate diffusion equations 1985
10.1512/iumj.1984.33.33003 Indiana University Mathematics Journal
  • Science: Mathematics
 125 1984
Some questions in the qualitative theory of non-linear degenerate parabolic equations of second order 1987
On the conditions for the non-existence in the large and localization of solutions of the Cauchy problem for a class of non-linear parabolic equations 1983
Citations
Title Journal Journal Categories Citations Publication Date
On Exact Multidimensional Solutions to a Nonlinear System of Fourth-Order Hyperbolic Equations Journal of Applied and Industrial Mathematics 2021
Invariant Solutions of Nonlinear Diffusion Equations with Maximal Symmetry Algebra Journal of Nonlinear Mathematical Physics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Physics
 2021
Conditional Lie–Bäcklund Symmetries and Functionally Generalized Separation of Variables to Quasi-Linear Diffusion Equations with Source

 Symmetry
  • Science: Mathematics
  • Science: Science (General)
 1 2020
Exact Solutions of the Nonlinear Diffusion Equation Siberian Mathematical Journal
  • Science: Mathematics
 2019
On Exact Multidimensional Solutions of a Nonlinear System of Reaction–Diffusion Equations Differential Equations
  • Science: Mathematics
 1 2018
Citations Analysis
Category Category Repetition
Science: Mathematics12
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods6
Science: Physics6
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases2
Science: Science (General)1
The category Science: Mathematics 12 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Exact polynomial solutions to some nonlinear diffusion equations and was published in 1993. The most recent citation comes from a 2021 study titled On Exact Multidimensional Solutions to a Nonlinear System of Fourth-Order Hyperbolic Equations. This article reached its peak citation in 1996, with 3 citations. It has been cited in 12 different journals, 8% of which are open access. Among related journals, the Journal of Physics A: Mathematical and General cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year