Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
-
Hyunsoo Kim
Coupled nonlinear partial differential equations describing the spatio-temporal dynamics of predator-prey systems and nonlinear telegraph equations have been widely applied in many real world problems. So, finding exact solutions of such equations is very helpful in the theories and numerical studies. In this paper, the Kudryashov method is implemented to obtain exact travelling wave solutions of such physical models. Further, graphic illustrations in two and three dimensional plots of some of the obtained solutions are also given to predict their behaviour. The results reveal that the Kudryashov method is very simple, reliable, and effective, and can be used for finding exact solution of many other nonlinear evolution equations.
© 1946 – 2014: Verlag der Zeitschrift für Naturforschung
Articles in the same Issue
- Laplace Transformation Approach to the Spin Symmetry of the Mie-Type Potential with a Coulomb Tensor Interaction
- Estimation of Reduced Partition Function Ratios of Lithium-Graphite Intercalation Compounds by Density Functional Theory
- Optimal Range of Parameters of Hopfield’s Neural Network for Shortest Path Computation in Routing
- On the Solution of the Nonlinear Fractional Diffusion-Wave Equation with Absorption: a Homotopy Approach
- The Ordered Network Structure of M≥8 Earthquakes and its Prediction for the Ordered Pair Great Earthquakes in Mainland China
- Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
- Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential
- The ‘Missing Mass Problem’ in Astronomy and the Need for a Modified Law of Gravity
- Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
Articles in the same Issue
- Laplace Transformation Approach to the Spin Symmetry of the Mie-Type Potential with a Coulomb Tensor Interaction
- Estimation of Reduced Partition Function Ratios of Lithium-Graphite Intercalation Compounds by Density Functional Theory
- Optimal Range of Parameters of Hopfield’s Neural Network for Shortest Path Computation in Routing
- On the Solution of the Nonlinear Fractional Diffusion-Wave Equation with Absorption: a Homotopy Approach
- The Ordered Network Structure of M≥8 Earthquakes and its Prediction for the Ordered Pair Great Earthquakes in Mainland China
- Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
- Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential
- The ‘Missing Mass Problem’ in Astronomy and the Need for a Modified Law of Gravity
- Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
