Dissertation > Excellent graduate degree dissertation topics show

Reductive evolution equations and exact solutions

Author: HuLiang
Tutor: QuChangZheng
School: Northwestern University
Course: Basic mathematics
Keywords: KdV-Burgers equation Future-Options equation Kuramoto-Sivashinsky equation Symmetry reduction Traveling wave reduction
CLC: O175.29
Type: Master's thesis
Year: 2010
Downloads: 83
Quote: 0
Read: Download Dissertation

Abstract


This paper uses dual- function algorithm and Lie symmetry group method proposed by some classical evolution equation for reduction, obtained the following results : first , the use of dual- function algorithm traveling wave KdV-Burgers will be reduced to ordinary differential equations , has been physically meaningful new soliton solutions . Secondly, the use of symmetry group methods Future-Options symmetry reduced to ordinary differential equations , not only by the financial equation Li symmetrical , and got some of the group invariant solutions of equation Third , the use of symmetry group method Kuramoto-Sivashinsky equation symmetrical about as ordinary differential equations, the equation obtained Lee symmetry and exact solutions of this paper is organized as follows : The first chapter outlines the history of evolution equations solved background and its important role in the reduced equation provides information about basic theories and methods and symbols used in this article the second chapter , the use of the methods described in the previous chapter on the different evolutionary equations reduced , thus allowing for an exact solution .

Related Dissertations

  1. The Lattice Boltzmann Method for Some Nonlinear Partial Differential Equations,O241.82
  2. Finite Difference Method and Numerical Simulation of Stochastic Partial Differential Equations,O241.82
  3. Research on Petrov-Galerkin Spectral Method for Two Problems,O241.82
  4. A new analytical method of nonlinear evolution equations KS class of equations,O175.29
  5. Weakly damped generalized KdV equation and generalized KdV-Burgers equation of state for a long time,O175.2
  6. Lattice Boltzmann model Kuramoto-Sivashinsky equation numerical simulation,O354
  7. With the multiplication of the Kuramoto-Sivashinsky white noise random attractor equation,O211.63
  8. 1 2 - dimensional nonlinear evolution equations in one -dimensional optimal system and its symmetry reduction,O175.2
  9. Nonlinear Waves, Geometrical Integrability and Group Classifications,O241
  10. The Existence and Asymptotic Property of the Solutions for Some Nonlinear Evolution Equations,O175.2
  11. Stochastic Equations and Their Applications in Credit Risk,F830
  12. Research on Several Problems of Nonlinear Wave Equations,O175.29
  13. Discussion on the Existence of Random Attractors of Some Stochastic Evolution Equations,O211.63
  14. Study on Two-Dimensional Phononic Crystals Band Gap Property Based on Symmetry,O735
  15. Symmetry reduction of the initial value problem of the nonlinear evolution equations and group classification,O175.29
  16. Approximate Similarity Reduction and Approximate Homotopy Similarity Reduction of Several Nonlinear Problems,O175.29
  17. Symmetries and Applications of Related Transform Theory,O175.29
  18. Difference Scheme for the Generalized Compound KdV-Burgers Equation,O241.82
  19. Cauchy Problem for Nonlinear Evolution Equation and Symmetry Reduction,O175.29
  20. Asymptotic Behavior of the Solutions to the Initial-Boundary Problem of the Generalized KdV-Burgers Equation,O175.8

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