Applicable symbolic computations on dynamics of small-amplitude long waves and Davey–Stewartson equations in finite water depth

•Analytical methods for wave problem are applied to study the surface gravity waves.•New solitary wave solutions of the Davey–Stewartson equations are obtained and presented.•The conservation laws and stability to the model system are derived.•Nonlinear dispersion relations and their components are...

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Veröffentlicht in:	Applied Mathematical Modelling 2018-05, Vol.57, p.376-390
Hauptverfasser:	Selima, Ehab S., Mao, Yadan, Yao, Xiaohua, Morad, Adel M., Abdelhamid, Talaat, Selim, Basem I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Conservation laws Davey–Stewartson equations Dispersion Finite element analysis Fluid dynamics Hamiltonian approach Mathematical models Nonlinear differential equations Nonlinear equations Painlevé analysis Partial differential equations Physical simulation Solitary waves Stability Studies Surface tension The [formula omitted]-expansion method Transformations Water depth Wave dispersion
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