On the new extensions to the Benjamin-Ono equation

DOI10.22034/cmde.2020.32382.1505zbMath1474.35181OpenAlexW3006716530MaRDI QIDQ5859039

Ahmet Yildirim, Ali Khalid Karam, Rahmatullah Ibrahim Nuruddeen

Publication date: 15 April 2021

Full work available at URL: https://cmde.tabrizu.ac.ir/article_9929_ad3a99b6800934face9dc443e21b206d.pdf

zbMATH Keywords

solitary wave solutionsmodified extended tanh methodBenjamin-Ono equations extensions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Fractional partial differential equations (35R11)

Related Items (2)

Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium ⋮ Collective variables approach to the vector-coupled system of Chen-Lee-Liu equation

Uses Software

• Mathematica

Cites Work

• On some special solutions to periodic Benjamin-Ono equation with discrete Laplacian
• Computation of time-periodic solutions of the Benjamin-Ono equation
• The modified extended tanh method with the Riccati equation for solving the space-time fractional EW and MEW equations
• The classification of the single traveling wave solutions to the modified Fornberg-Whitham equation
• Solitary waves of the rotation-generalized Benjamin-Ono equation
• Antisymmetric bright solitary SH waves in a nonlinear heterogeneous plate
• Dispersive shock waves in the Kadomtsev-Petviashvili and two dimensional Benjamin-Ono equations
• \(N\)-lump and interaction solutions of localized waves to the \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation
• The regularized Benjamin-Ono and BBM equations: well-posedness and nonlinear stability
• Exact multi-soliton solution of the Benjamin-Ono equation
• On the asymptotic behavior of solutions to the Benjamin-Ono equation
• Internal waves of permanent form in fluids of great depth

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