Solving the fractional BBM-Burgers equation using the homotopy analysis method
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Publication:601344
DOI10.1016/j.chaos.2007.09.042zbMath1198.65205OpenAlexW1999340559MaRDI QIDQ601344
Publication date: 4 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2007.09.042
Integro-partial differential equations (45K05) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
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Cites Work
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- New exact solutions of the Broer-Kaup equations in (2 + 1)-dimensional spaces
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system
- Exp-function method for nonlinear wave equations
- The application of homotopy analysis method to nonlinear equations arising in heat transfer
- A new branch of solutions of boundary-layer flows over an impermeable stretched plate
- On the homotopy analysis method for nonlinear problems.
- Soliton-like and period form solutions for high dimensional nonlinear evolution equations
- Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order.
- New exact solutions for some nonlinear differential equations using symbolic computation.
- Symbolic computation in nonlinear evolution equation: application to \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
- Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones
- Comparison between the homotopy analysis method and homotopy perturbation method
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Wave Propagation in Nonlinear Lattice. I
- Wave Propagation in Nonlinear Lattice. II
- A closed-form analytical solution for the valuation of convertible bonds with constant dividend yield
- New similarity reductions of the Boussinesq equation
- Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate
- Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation
- On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
- (2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions
- Soliton solutions for the new complex version of a coupled KdV equation and a coupled MKdV equation
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations