Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 7 of 7 for “"Travelling wave solutions"”.
-
Beyond the tanh method-looking for explicit travelling wave solutions to partial differential equations
… focus on a general procedure for finding exact travelling wave solutions for evolution equations with polynomial nonlinearites. Mathematically, looking for travelling wave solutions is asking the question whether a given PDE has solutions invariant under a Galilean transformation; in such a …
-
Asymptotic Analysis of Perturbations to Travelling Wave Solutions of Nonlinear Advection-Reaction-Diffusion Equations of Fisher Type
… analyzing the stability of their equilibrium solutions and plotting their trajectories in phase portraits. We then describe the derivation of some exact expressions for travelling wave solutions which had been obtained by previous researcher using other methods. We examine some situations …
-
Spectral stability of solutions to Whitham-type equations with a nonlocal kernel
… a clear and reproducible outline of finding travelling wave solutions to certain nonlinear partial differential equations. This is done using a spectral cosine collocation method, and the stability of the travelling wave solutions found is then assessed using the Fourier-Floquet-Hill method. …
-
Stability of a liquid thread and stability and nonlinear evolution of multi-layer fluid flow
… is concerned with stability and existence of waves in interfacial and free surface problems. Considered is the curtain coating problem, with specific emphasis on trilayer and bilayer flows, and the breakup of a viscous thread with a solid core. Experiments on curtain coating and sheet breakup …
-
Stability of periodic solutions to nonlinear Klein-Gordon equations
We study the stability of periodic travelling wave solutions to nonlinear Klein-Gordon equations, subject to small and localized perturbations. Using the periodic Evans function technique, we analyze the spectrum of a linearized quadratic eigenvalue pencil associated with the linearized equation, …
-
A study of certain multi-dimensional partial differential equations using Lie symmetry analysis
… phenomena of the real world. Closed-form solutions and conservation laws are obtained for such equations using various methods. The multi-dimensional partial differential equations that are investigated in this thesis are (2+ 1) and (3+ 1 )-dimensional Boussinesq equations, a generalized …
-
Numerical approximation of Stratonovich SDEs and SPDEs
… SEI as well as the MSEI scheme to approximate solutions of the stochastic Landau-Lifschitz- Gilbert (LLG) equation in three dimensions. We examine the L2(Ω ) approximation error of the SEI and MSEI schemes numerically and we prove analytically that MSEI achieves a higher order of convergence …