If anyone knows how to solve KS equation numerically in Mathematica ,help me?
Dear Basanta,
I hope these materials to be helpful.
With Best Luck
http://www.gesar.uerj.br/media/pdf/courses/2015/04/vitral-01.pdf
https://www.youtube.com/watch?v=PJZ4nUkezHQ
https://hal.archives-ouvertes.fr/hal-00790207/document
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.75.3894
Thank you sir.
Dear Parida
Some numerical and analysis as
Numerical Solution for an Anisotropic Kuramoto-Sivashinsky ...
Video for solve anisotropic Kuramoto-Sivashinsky equation
www.gesar.uerj.br/media/pdf/courses/2015/04/vitral-01.pdf
www.math.pitt.edu/~ccc/htdocs/archive/ks2d.pdf
Some of my Papers
1- A. R. Seadawy, Fractional solitary wave solutions of the
nonlinear higher-order extended KdV equation in a stratified
shear flow: Part I, Comp. and Math. Appl. \textbf{70} (2015)
345–352.
2- Khater, A. H., Callebaut D. K., Malfliet, W. and Seadawy A. R., Nonlinear Dispersive
Rayleigh-Taylor Instabilities in Magnetohydro-dynamic Flows,
Physica Scripta, 64 (2001) 533-547.
3- Khater, A. H., Callebaut D.
K. and Seadawy A. R., "Nonlinear Dispersive Kelvin-Helmholtz
Instabilities in Magnetohydrodynamic Flows" Physica Scripta, 67
(2003) 340-349.
4- A.R. Seadawy, Exact solutions of a two-dimensional
nonlinear Schrodinger equation, Appl. Math. Lett. 25 (2012) 687.
5- A.R. Seadawy, Stability analysis for Zakharov-Kuznetsov equation of weakly
nonlinear ion-acoustic waves in a plasma, Computers and
Mathematics with Applications 67 (2014) 172-180.
6- A.R. Seadawy, Stability analysis for two-dimensional ion-acoustic waves in
quantum plasmas, PHYSICS OF PLASMAS 21 (2014) 052107.
7- Helal, M. A. and Seadawy A. R., Variational method for the
derivative nonlinear Schrodinger equation with computational
applications, Physica Scripta, 80, (2009) 350-360.
8- Helal, M. A. and Seadawy A. R., Exact
soliton solutions of an D-dimensional nonlinear Schrodinger
equation with damping and diffusive terms, Z. Angew. Math. Phys.
(ZAMP) 62 (2011), 839-847.
9- Khater, A. H., Callebaut D. K. and Seadawy A. R., General
soliton solutions of an n-dimensional Complex Ginzburg-Landau
equation, Physica Scripta, Vol. 62 (2000) 353-357.
10- Khater, A. H., Helal M. A. and Seadawy A. R.,
General soliton solutions of n-dimensional nonlinear Schrodinger
equation" IL Nuovo Cimento 115B, (2000) 1303-1312.
11- Khater, A. H., Callebaut D. K., Helal, M. A. and Seadawy A.
R., Variational Method for the Nonlinear Dynamics of an Elliptic
Magnetic Stagnation Line, The European Physical Journal D, 39,
(2006) 237-245.
12- Khater, A. H., Callebaut D. K.,
Helal, M. A. and Seadawy A. R., General Soliton Solutions for
Nonlinear Dispersive Waves in Convective Type Instabilities,
Physica Scripta, 74, (2006) 384.
13- Seadawy A. R., Three-dimensional nonlinear modified Zakharov–Kuznetsov
equation of ion-acoustic waves in a magnetized plasma, Computers
and Mathematics with Applications 71 (2016) 201-212.
14- M.A. Helal and A.R. Seadawy, Benjamin-Feir-instability in
nonlinear dispersive waves, Computers and Mathematics with
Applications 64 (2012) 3557-3568.
15- Seadawy, A.R., and El-Rashidy, K., Traveling wave solutions for some coupled nonlinear
evolution equations by using the direct algebraic method, Math.
and Comp. model. \textbf{57} (2013) 1371.
16- A. R. Seadawy, New exact solutions for the KdV equation with higher order nonlinearity
by using the variational method, Comp. and Math. Appl. 62 (2011)
3741-3755.
17- Seadawy A. R, Stability analysis solutions for nonlinear
three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov
equation in a magnetized electron-positron plasma" Physica A:
Statistical Mechanics and its Applications Physica A 455 (2016)
44-51.
18- A.R. Seadawy, Nonlinear wave solutions of the three-dimensional
Zakharov–Kuznetsov–Burgers equation in dusty plasma, Physica A
439 (2015) 124–131.
19- A.R. Seadawy, Stability analysis of traveling wave
solutions for generalized coupled nonlinear KdV equations, Appl.
Math. Inf. Sci. 10 (1) (2016) 209–214.
Thank you Aly sir.
With my best regards and wishes
Any questions about my papers don't hesitate with me
Aly
You may see our paper "Quintic B-spline collocation method for numerical solution of the Kuramoto–Sivashinsky equation"
RC Mittal, G Arora
Communications in Nonlinear Science and Numerical Simulation 15 (10), 2798-2808
(2010)
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