On Fokker-Planck and linearized Korteweg-de Vries type equations with complex spatial variables
-
Ciprian G. Gal
cgal@fiu.edu
-
Sorin G. Gal
galso@uoradea.ro
Downloads
DOI:
https://doi.org/10.4067/S0719-06462013000100003Abstract
In the present work, we construct solutions to a Fokker-Planck type equation with real time variable and complex spatial variable, and prove some properties. The equations are obtained from the complexification of the spatial variable by two different methods. Firstly, one complexifies the spatial variable in the corresponding convolution integral in the solution, by replacing the usual sum of variables (translation) by an exponential product (rotation). Secondly, one complexifies the spatial variable directly in the corresponding evolution equation and then one searches for analytic solutions. These methods are also applied to a linear evolution equation related to the Korteweg-de Vries equation.
Keywords
Most read articles by the same author(s)
- Sorin G. Gal, Remarks on the generation of semigroups of nonlinear operators on p-Fréchet spaces, 0 < p < 1 , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
Similar Articles
- L. K. Kikina, I.P. Stavroulakis, A Survey on the Oscillation of Solutions of First Order Delay Difference Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Gradimir V. Milovanović, Abdullah Mir, Adil Hussain, Estimates for the polar derivative of a constrained polynomial on a disk , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Abderemane Morame, Françoise Truc, Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Qikeng Lu, Global Solutions of Yang-Mills Equation , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- Meriem Djibaoui, Toufik Moussaoui, Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Man Chun Leung, Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi, Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- John Wermer, The complex Plateau Problem , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- S.S. Dragomir, Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Junwei Liu, Chuanyi Zhang, Existence and stability of almost periodic solutions to impulsive stochastic differential equations , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
<< < 5 6 7 8 9 10 11 12 13 14 15 16 > >>
You may also start an advanced similarity search for this article.
