On non-linear evolution equations of higher order - the introduction and application of a novel computational approach
DOI10.1016/j.amc.2009.08.024zbMath1178.65122OpenAlexW1966165083WikidataQ115463173 ScholiaQ115463173MaRDI QIDQ1039707
Publication date: 23 November 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.024
algorithmevolution equationsnon-linear partial differential equationsexact class of solutionsclass of solitary solutionscomputational algebraic methods
Symbolic computation and algebraic computation (68W30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Systems of nonlinear higher-order PDEs (35G50)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on a class of solitary-like solutions of the Tzitzéica equation generated by a similarity reduction
- A note on new solitary and similarity class of solutions of a fourth-order non-linear evolution equation
- The calculation of novel class of solutions of a non-linear fourth order evolution equation by the Weierstraß transform method
- On class of solutions of nonlinear partial differential equation of sixth order generated by a classical and non-classical symmetry analysis
- Solitons. Mathematical methods for physicists
- Painlevé expansions for nonintegrable evolution equations
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Improved Jacobian elliptic function method and its applications.
- Exact travelling wave solutions for the generalized shallow water wave equation.
- Higher-order solution of an electron acoustic solitary waves via vortex electron distribution
- New exact solutions for a generalized variable coefficients 2D KdV equation
- New exact solutions to a solutions to a system of coupled KdV equations
- Exact solutions for a compound KdV-Burgers equation
- A note on the homogeneous balance method
- A note on class of traveling wave solutions of a nonlinear third order system generated by Lie's approach
- A novel algebraic procedure for solving non-linear evolution equations of higher order
- Applications of algebraic method to exactly solve some nonlinear partial differential equations
- Travelling wave solutions to the Kuramoto-Sivashinsky equation
- Traveling wave solutions for nonlinear differential equations: a unified ansätze approach
- New exact Jacobi elliptic function solutions for some nonlinear evolution equations
- Solitary solutions of some nonlinear evolution equations
- A novel class of solutions for a nonlinear third order wave equation generated by the Weierstraß transformation
- Solitary wave solutions of nonlinear wave equations
- Exact solutions for nonlinear partial differential equation: a new approach
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
- The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations
- New exact solutions for a class of nonlinear coupled differential equations
This page was built for publication: On non-linear evolution equations of higher order - the introduction and application of a novel computational approach
