Blow-up solutions of the generalized Boussinesq equation obtained by variational iteration method
From MaRDI portal
Publication:840453
DOI10.1007/s11071-007-9287-1zbMath1170.76316OpenAlexW1964969751MaRDI QIDQ840453
Publication date: 11 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-007-9287-1
Lagrange multipliergeneralized Boussinesq equationvariational iteration methodcorrection functionalstationary conditions
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Variational methods applied to problems in fluid mechanics (76M30)
Related Items
Soliton-type and other travelling wave solutions for an improved class of nonlinear sixth-order Boussinesq equations ⋮ Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems ⋮ On the quasi-periodic solutions for generalized Boussinesq equation with higher order nonlinearity ⋮ Exact solutions of space-time fractional EW and modified EW equations ⋮ On quasi-periodic solutions for a generalized Boussinesq equation ⋮ Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing ⋮ On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Variational iteration method for solving Burgers and coupled Burgers equations
- On the variational iteration method
- Application of He's variational iteration method to Helmholtz equation
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Numerical simulation of equal-width wave equation
- Application of the variational iteration method to the regularized long wave equation
- New hyperbolic schemes for reliable treatment of Boussinesq equation
- Asymptotic shape of cusp singularities in curve shortening
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Approximate solution of nonlinear differential equations with convolution product nonlinearities
- Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
- The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- The solution of Burgers' and good Boussinesq equations using ADM-Padé technique
- Nonlinear fluid flows in pipe-like domain problem using variational-iteration method
- Variational iteration method for one-dimensional nonlinear thermoelasticity
- Nonlinear variants of the improved Boussinesq equation with compact and noncompact struc\-tures
- Blow-up solutions obtained using the decomposition method
- A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations
- The solution of nonlinear coagulation problem with mass loss
- Generalized Boussinesq type of equations with compactons, solitons and periodic solutions
- On a Toda lattice model with a transversal degree of freedom
- Two-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations
- Explosive Instabilities in Mechanics
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Exact envelope-soliton solutions of a nonlinear wave equation
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
