Global existence to generalized Boussinesq equation with combined power-type nonlinearities

Nonlinear scalar field equations, I existence of a ground state

Henri Berestycki, P. L. Lions · Archive for Rational Mechanics and Analysis · 1983 · 2.5K citations

Elliptic Equation, Global Analysis, Nonlinear Equation +3

Global Existence of Small Solutions for a Generalized Boussinesq Equation

Felipe Linares · Journal of Differential Equations · 1993 · 163 citations

Monge-ampere Equation, Elliptic Equation, Global Existence +3

Cauchy problem of the generalized double dispersion equation

Shubin Wang, Guowang Chen · Nonlinear Analysis · 2005 · 99 citations

Monge-ampere Equation, Nonlinear Hyperbolic Problem, Double Dispersion Equation +1

Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation

Necat Polat, Abdulkadir Ertaş · Journal of Mathematical Analysis and Applications · 2008 · 68 citations

Multidimensional Boussinesq Equation, Elliptic Equation, Hyperbolic Conservation Law +4

An energy-consistent dispersive shallow-water model

Christomir Christov · Wave Motion · 2001 · 65 citations

Marine Hydrodynamics, Engineering, Dispersion +2