A variety of soliton solutions for the Boussinesq-Burgers equation and the higher-order Boussinesq-Burgers equation | Zendy

AbdulMajid Wazwaz | Zendy

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A variety of soliton solutions for the Boussinesq-Burgers equation and the higher-order Boussinesq-Burgers equation

Author(s) -

AbdulMajid Wazwaz

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1703831w

Subject(s) - burgers' equation , mathematics , soliton , boussinesq approximation (buoyancy) , work (physics) , mathematical analysis , partial differential equation , nonlinear system , physics , mechanics , thermodynamics , convection , natural convection , quantum mechanics , rayleigh number

In this work we examine the Boussinesq-Burgers equation and the higher-order Boussinesq-Burgers equation. The simplified Hirota's method is used to derive multiple soliton solutions for each method. More soliton and periodic solutions are derived as well.

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