Infinite-dimensional symmetries of a general class of variable coefficient evolution equations in 2+1 dimensions

P. Basarab-Horwath, F. Güngör, Cihangir Özemir

Type: Article

Publication Date: 2013-11-29

Citations: 4

DOI: https://doi.org/10.1088/1742-6596/474/1/012010

Abstract

We consider generalized KP-Burgers equations and attempt to identify subclasses admitting Virasoro or Kac-Moody type algebras as their symmetries. We give reductions to ODEs constructed from invariance requirement under these infinite-dimensional Lie symmetry algebras and integrate them in cases where it is possible. We also look at the conditions under which the equation passes the Painlevé test and construct some exact solutions by truncation.

Locations

Journal of Physics Conference Series - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations	2006	F. Güngör
+	Lie symmetry analysis and Painlevé analysis of the new (2+1)-dimensional KdV equation	2007	Shoufeng Shen
+	Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2+1)-dimensional nonlinear evolution equations	1998	M. Senthil Velan M. Lakshmanan
+ PDF Chat	Lie Symmetries, Kac-Moody-Virasoro Algebras and Integrability of Certain (2+1)-Dimensional Nonlinear Evolution Equations	1998	M. Senthil Velan M. Lakshmanan
+	Kac-Moody-Virasoro algebras and integrability of certain higher dimensional nonlinear evolutionary equations	2000	M. Senthilvelan
+ PDF Chat	The generalized Davey-Stewartson equations, its Kac-Moody-Virasoro symmetry algebra and relation to Davey-Stewartson equations	2006	F. Güngör Ö. Aykanat
+	Painlevé analysis, Lie symmetries and invariant solutions of potential Kadomstev–Petviashvili equation with time dependent coefficients	2012	Rajesh Kumar Gupta Anupma Bansal
+	Lie symmetries of a generalized Kuznetsov-Zabolotskaya-Khoklov equation	2014	F. Güngör Cihangir Özemir
+	Lie Symmetry Analysis and Some Exact Solutions of (2+1)-dimensional KdV-Burgers Equation	2019	Rajan Arora Astha Chauhan
+	VIRASORO INTEGRABLE AND PAINLEV? INTEGRABLE MODELS IN (3+1)-DIMENSIONS	2001	Lin J
+ PDF Chat	Extended symmetry analysis of remarkable (1+2)-dimensional Fokker–Planck equation	2023	Serhii D. Koval Alexander Bihlo Roman O. Popovych
+	Extended symmetry analysis of remarkable (1+2)-dimensional Fokker-Planck equation	2022	Serhii D. Koval Alexander Bihlo Roman O. Popovych
+	Lie symmetry based-analytical and numerical approach for modified Burgers-KdV equation	2018	Vikas Kumar Lakhveer Kaur Ajay Kumar Mehmet Emir Köksal
+	Conservation laws of equation family with same Kac–Moody–Virasoro symmetry	2010	Man Jia Yuan Gao Sen‐Yue Lou
+	LIE SYMMETRY ANALYSIS AND PAINLEVE ANALYSIS OF THE NEW （2＋1）-DIMENSIONAL KdV EQUATION	2007	 Shen Shoufeng
+ PDF Chat	Lie symmetries and exact solutions of variable coefficient mKdV equations: An equivalence based approach	2011	Olena Vaneeva
+	Infinite-dimensional symmetries of a two-dimensional generalized Burgers equation	2009	F. Güngör
+	Symmetries of 2+1-dimensional variable coefficient Burgers equations	2013	F. Güngör Cihangir Özemir
+ PDF Chat	Infinite-dimensional symmetry group, Kac–Moody–Virasoro algebras and integrability of Kac–Wakimoto equation	2022	Manjit Singh
+ PDF Chat	Nonautonomous symmetries of the KdV equation and step-like solutions	2020	V. É. Adler

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	Davey–Stewartson equations in (3 + 1) dimensions with an infinite-dimensional symmetry algebra	2020	Cihangir Özemir
+ PDF Chat	Analysis of the symmetry group and exact solutions of the dispersionless KP equation in <i>n</i> + 1 dimensions	2018	Juan M. Conde F. Güngör
+ PDF Chat	Lie group analysis of a generalized Krichever-Novikov differential-difference equation	2014	D. Levi Eugenio Ricca Zora Thomova P. Winternitz

Works Cited by This (4)

Action	Title	Year	Authors
+ PDF Chat	Generalized Kadomtsev–Petviashvili equation with an infinite-dimensional symmetry algebra	2002	F. Güngör P. Winternitz
+ PDF Chat	On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations	2006	F. Güngör
+ PDF Chat	On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation	2012	Shou‐Fu Tian Hongqing Zhang
+	Infinite-dimensional symmetries of a two-dimensional generalized Burgers equation	2009	F. Güngör