Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation

DOI<1467::AID-MMA968>3.0.CO;2-K 10.1002/(SICI)1099-1476(19981110)21:16<1467::AID-MMA968>3.0.CO;2-KzbMath0914.35103OpenAlexW2035603271MaRDI QIDQ4222524

Zhijian Yang

Publication date: 13 June 1999

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19981110)21:16<1467::aid-mma968>3.0.co;2-k

zbMATH Keywords

existenceuniquenessnon-existence of global solutions

Mathematics Subject Classification ID

Related Items (15)

Blow-up of solutions for improved Boussinesq type equation ⋮ Global attractor and decay estimates of solutions to a class of nonlinear evolution equations ⋮ A <scp>F</scp>ourier pseudospectral method for a generalized improved <scp>B</scp>oussinesq equation ⋮ Global existence and exponential growth of solution for the logarithmic Boussinesq-type equation ⋮ Numerical solutions of the improved boussinesq equation by the galerkin quadratic B-spline finite element method ⋮ An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation ⋮ On the Controllability of the Improved Boussinesq Equation ⋮ A meshless finite point method for the improved Boussinesq equation using stabilized moving least squares approximation and Richardson extrapolation ⋮ Global attractors for the higher-order evolution equation ⋮ Blowup of solutions for the bad Boussinesq-type equation. ⋮ Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation ⋮ Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation ⋮ Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms ⋮ On the controllability of the Boussinesq equation in low regularity ⋮ Linear B-spline finite element method for the improved Boussinesq equation

Cites Work

• Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Global existence of small solutions for a generalized Boussinesq equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
• On the Blow-up of Certain Solutions of the “Good” Boussinesq Equation
• Inverse scattering and the boussinesq equation

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