Abstract:
The generalized Kuramoto–Sivashinsky equation in the case of the power nonlinearity with arbitrary degree is considered. New exact solutions of this equation are presented.
Citation:
N. A. Kudryashov, “Solitary and Periodic Solutions of the Generalized Kuramoto–Sivashinsky Equation”, Regul. Chaotic Dyn., 13:3 (2008), 234–238
\Bibitem{Kud08}
\by N.~A.~Kudryashov
\paper Solitary and Periodic Solutions of the Generalized Kuramoto–Sivashinsky Equation
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 3
\pages 234--238
\mathnet{http://mi.mathnet.ru/rcd573}
\crossref{https://doi.org/10.1134/S1560354708030088}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2415376}
\zmath{https://zbmath.org/?q=an:1229.35229}
Linking options:
https://www.mathnet.ru/eng/rcd573
https://www.mathnet.ru/eng/rcd/v13/i3/p234
This publication is cited in the following 54 articles:
Bewar A Mahmood, Shko A Tahir, Karwan H F Jwamer, “An efficient scheme for solving nonlinear generalized kuramoto-sivashinksy processes”, Phys. Scr., 98:10 (2023), 105235
Bewar A. Mahmood, Karwan H. F. Jwamer, Shko A. Tahir, “A new hybrid technique based on nonpolynomial splines and finite differences for solving the Kuramoto–Sivashinsky equation”, AIP Advances, 13:6 (2023)
O. González-Gaxiola, A. León-Ramírez, G. Chacón-Acosta, “Application of the Kudryashov Method for Finding
Exact Solutions of the Schamel – Kawahara Equation”, Rus. J. Nonlin. Dyn., 18:2 (2022), 203–215
Nikolay A. Kudryashov, Aleksandr A. Kutukov, Sophiya F. Lavrova, Dariya V. Safonova, “On solutions of one of the second-order nonlinear differential equation: An in-depth look and critical review”, Optik, 255 (2022), 168674
Elena V. Nikolova, Mila Chilikova-Lubomirova, EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021), 2459, EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021), 2022, 030028
Sahar Albosaily, Wael W. Mohammed, Ali Rezaiguia, Mahmoud El-Morshedy, Elsayed M. Elsayed, “The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation”, Open Mathematics, 20:1 (2022), 108
Wael W. Mohammed, A. M. Albalahi, S. Albadrani, E. S. Aly, R Sidaoui, A. E. Matouk, A. M. Nagy, “The Analytical Solutions of the Stochastic Fractional Kuramoto–Sivashinsky Equation by Using the Riccati Equation Method”, Mathematical Problems in Engineering, 2022 (2022), 1
Seung Whan Chung, Jonathan B. Freund, “An optimization method for chaotic turbulent flow”, Journal of Computational Physics, 457 (2022), 111077
Mohammed W.W., Alesemi M., Albosaily S., Iqbal N., El-Morshedy M., “The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation By Using (G `/G)-Expansion Method”, Mathematics, 9:21 (2021), 2712
Fibay Urbain, N. A. Kudryashov, E. Tala-Tebue, Malwe Boudoue Hubert, S. Y. Doka, Kofane Timoleon Crepin, “Exact solutions of the KdV equation with dual-power law nonlinearty”, Comput. Math. Math. Phys., 61:3 (2021), 431–435
SeungWhan Chung, Jonathan B. Freund, “An Optimization Method for Chaotic Turbulent Flow”, SSRN Journal, 2021
Oswaldo González-Gaxiola, Anjan Biswas, Mir Asma, Abdullah Kamis Alzahrani, “Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme”, Regul. Chaotic Dyn., 25:4 (2020), 338–348
Kudryashov N.A., “First Integrals and General Solutions of the Biswas-Milovic Equation”, Optik, 210 (2020), 164490
Kudryashov N.A., “Method For Finding Highly Dispersive Optical Solitons of Nonlinear Differential Equations”, Optik, 206 (2020), 163550
Kudryashov N.A., “Periodic and Solitary Waves of the Biswas-Arshed Equation”, Optik, 200 (2020), 163442
N. A. Kudryashov, “On Integrability of the FitzHugh – Rinzel Model”, Rus. J. Nonlin. Dyn., 15:1 (2019), 13–19
Nikolay A. Kudryashov, Dariya V. Safonova, Anjan Biswas, “Painlevé Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan – Kundu – Lakshmanan Equation”, Regul. Chaotic Dyn., 24:6 (2019), 607–614
Kudryashov N.A., “Solitary and Periodic Waves of the Hierarchy For Propagation Pulse in Optical Fiber”, Optik, 194 (2019), 163060
Kudryashov N.A., “Construction of Nonlinear Differential Equations For Description of Propagation Pulses in Optical Fiber”, Optik, 192 (2019), 162964
Kudryashov N.A., “Traveling Wave Reduction of the Modified Kdv Hierarchy: the Lax Pair and the First Integrals”, Commun. Nonlinear Sci. Numer. Simul., 73 (2019), 472–480
Citation in format AMSBIB
Contact us: