Mathematical methods for a reliable treatment of the \((2+1)\)-dimensional Zoomeron equation

DOI10.1186/2251-7456-6-11zbMath1264.35079OpenAlexW2096416980WikidataQ59289100 ScholiaQ59289100MaRDI QIDQ1953774

Marwan Alquran, Kamel Al-Khaled

Publication date: 10 June 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-11

zbMATH Keywords

exponential function methodextended tanh methodwave variablesZoomeron equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Related Items (13)

New wave form solutions of nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions ⋮ Unnamed Item ⋮ Bounded traveling waves of the (2+1)-dimensional Zoomeron equation ⋮ Dynamics investigation and solitons formation for \((2+1)\) -dimensional zoomeron equation and foam drainage equation ⋮ New analytical solutions of \((2 + 1)\)-dimensional conformable time fractional Zoomeron equation via two distinct techniques ⋮ Traveling wave solutions of conformable time-fractional Zakharov-Kuznetsov and zoomeron equations ⋮ Construction of breather solutions and \(N\)-soliton for the higher order dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera equation arising from wave patterns ⋮ Auxiliary equation method for time-fractional differential equations with conformable derivative ⋮ A two-mode coupled Korteweg-de Vries: multiple-soliton solutions and other exact solutions ⋮ A reliable study of new nonlinear equation: two-mode Kuramoto-Sivashinsky ⋮ Exact solutions of conformable time fractional Zoomeron equation via IBSEFM ⋮ Study of the analytical treatment of the (2+1)-dimensional Zoomeron, the Duffing and the SRLW equations via a new analytical approach ⋮ Symmetry analysis and conservation laws of the Zoomeron equation

Cites Work

• Unnamed Item
• The extended tanh method for solving systems of nonlinear wave equations
• Bright and dark soliton solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients
• Exp-function method for solving nonlinear evolution equations
• Solitary wave solution for the generalized Kawahara equation
• The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
• Sinc and solitary wave solutions to the generalized Benjamin–Bona–Mahony–Burgers equations
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• The tanh and sine–cosine methods for higher order equations of Korteweg–de Vries type

This page was built for publication: Mathematical methods for a reliable treatment of the \((2+1)\)-dimensional Zoomeron equation