Traveling wave solutions of the Benjamin-Bona-Mahony water wave equations
From MaRDI portal
Publication:1725289
DOI10.1155/2014/926838zbMath1474.35184OpenAlexW1995324090WikidataQ59042878 ScholiaQ59042878MaRDI QIDQ1725289
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/926838
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Traveling wave solutions (35C07)
Related Items
Three-Dimensional Weakly Nonlinear Shallow Water Waves Regime and its Traveling Wave Solutions, Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients, Water wave solutions of Zufiria's higher-order Boussinesq type equations and its stability, EXPLICIT AND EXACT SOLUTIONS TO THE MODIFIED BENJAMIN-BONA-MAHONY EQUATION, Asymptotic \(\Sigma\)-solutions of a singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients, Taylor wavelet collocation method for Benjamin-Bona-Mahony partial differential equations, Lump, rogue wave, multi-waves and Homoclinic breather solutions for (2+1)-Modified Veronese Web equation, Numerical simulation of time fractional BBM-Burger equation using cubic B-spline functions
Cites Work
- Unnamed Item
- Unnamed Item
- Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma
- Benjamin-Feir instability in nonlinear dispersive waves
- Exact solutions of a two-dimensional nonlinear Schrödinger equation
- The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation
- Exact solutions of four generalized Benjamin-Bona-Mahony equations with any order
- Travelling wave solutions of the generalized Benjamin-Bona-Mahony equation
- Exact solutions of the generalized Benjamin-Bona-Mahony equation
- Elliptic solutions to a generalized BBM equation
- Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis
- The first integral method for modified Benjamin-Bona-Mahony equation
- Cauchy problem for the Ostrovsky equation
- Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin-Bona-Mahony equation
- New exact solutions for the KdV equation with higher order nonlinearity by using the variational method
- Nonlinear variants of the BBM equation with compact and noncompact physical structures
- Approximate model equations for water waves
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Traveling wave solutions of the BBM-like equations
- Variational method for the derivative nonlinear Schrödinger equation with computational applications
- Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
- Model equations for long waves in nonlinear dispersive systems
