Dissertation > Excellent graduate degree dissertation topics show

Bifurcation of Traveling Wave Solutions and Dynamical Behaviors of a Class of K (m, n) Equations with Generalized Evolution Terms

Author: YinLan
Tutor: ZhangWeiPeng
School: Northeast Normal University
Course: Applied Mathematics
Keywords: Bifurcation curve Singular traveling wave equation Solitary wave Smooth periodicwave Periodic cusp wave
CLC: O175.29
Type: Master's thesis
Year: 2011
Downloads: 18
Quote: 0
Read: Download Dissertation


In this paper, by using bifurcation theory and methods of plane dynamic system, we investigate thebifurcation and dynamical behavior of some special cases of a class of K(m, n) equations, i.e. (ul)t +aumux +(?), n = 2, l≥2. We obtain some exact explicit parametric representations oftraveling wave solutions by using time scaling transformation. We convert K(m, n) equation into a regularsystem, then the bifurcation and dynamical behaviors of regular system is discussed using bifurcation theoryof dynamic system. By discussing regular system, we find the existence of traveling wave solution anddynamical behavior of the singular traveling wave system. Meanwhile we get some exact traveling waveand the existence of periodic solution.

Related Dissertations

  1. The exact solution of the nonlinear evolution of the system to solve its automatically Research,O175.29
  2. Numerical Simulation of Generation, Propagation and Runup of Tsunamis,P731.25
  3. The Exact Travelling Wave Solutions for Three Types of Generalized KdV Equations,O175.29
  4. Solitary wave solutions of the homogeneous balance method and nonlinear partial differential equations,O175.29
  5. K (n,-n, 2n) equations and dynamical properties of traveling wave solutions for the analysis of,O175.29
  6. Variable coefficient Korteweg-de Vries (KdV) equation and variable coefficient Kadomtsev-Petviashvili (KP) equation solving method,O175.29
  7. Truncated Painlevé Expansion and the Exact Travelling Wave Solutions to Nonlinear Evolution Equations,O175.29
  8. The Soliton Solutions of a Nonlinear Dispersive Equation,O175.29
  9. Bifurcation and Qualitative Study of Travelling Wave Solutions in GNLSE with Saturable Nonlinearity,O175.2
  10. Bounded space Stability of dusty plasma discharge,O53
  11. The Numerical Simulation of Interaction of Solitary Waves with Floating Structures in a Viscous Fluid,U661.1
  12. Asymptotic Properties of Solutions for Nonlinear Telegraph Equations and Exact Travelling Wave Solutions for Generalized KdV Equations,O175.2
  13. The Exact Travelling Wave Solutions for Several Types of Nonlinear Partial Differential Equations,O175.29
  14. The Applications of Jacobi Elliptic Function in Solving Nonlinear Evolution Equations,O175.2
  15. The Study of the Solution to a Class of Shallow Water Wave Equation,O175.24
  16. The Study of Nonlinear Ordinary Differential Equations and Solitons,O175.29
  17. Chaos and subharmonic branch JM equation traveling wave solutions for the branch and a class PLL equation,O29
  18. A spiral model of the polypeptide chain traveling wave solutions,O19
  19. Branch traveling wave solutions of the Boussinesq Equations,O19
  20. The Effects of the Different Variational Walls on Nonlinear Waves in the Flow,TK123
  21. The solitary wave nonlinear physics research,O415

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Nonlinear partial differential equations
© 2012 www.DissertationTopic.Net  Mobile