Exact solutions and conservation laws of a \((2 + 1)\)-dimensional nonlinear KP-BBM equation

DOI10.1155/2013/791863zbMath1291.35271OpenAlexW1557862583WikidataQ58917475 ScholiaQ58917475MaRDI QIDQ370215

Khadijo Rashid Adem, Chaudry Masood Khalique

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/791863

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

Symmetry analysis and conservation laws of a generalized two-dimensional nonlinear KP-MEW equation ⋮ New analytic solutions for fluid flow equations in higher dimensions around an offshore structure describing bidirectional wave surfaces ⋮ Exact explicit solutions and conservation laws for a coupled Zakharov-Kuznetsov system ⋮ On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system ⋮ ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION ⋮ On the conservation laws and exact solutions of a modified Hunter-Saxton equation ⋮ Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation ⋮ Conservation laws of two \((2+1)\)-dimensional nonlinear evolution equations with higher-order mixed derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Exact solitary wave solutions of the Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation
• Conservation laws and invariant solutions in the Fanno model for turbulent compressible flow
• Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
• The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations
• Simplest equation method to look for exact solutions of nonlinear differential equations
• Exact solutions of compact and noncompact structures for the KP-BBM equation
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetries and differential equations