Title

Familiarity From The Configuration Of Objects In 3-Dimensional Space And Its Relation To Déjà Vu: A Virtual Reality Investigation

Keywords

Generalized Drinfel'd-Sokolov equations; Hamiltonian formulation; Nonlinear PDE; Numerical solution

Abstract

An analysis of the coupled generalized Drinfel'd-Sokolov equationsut+α1uux+β1uxxx+γvδx=0andvt+α2uvx+β 2vxxx=0is performed in the case of traveling wave solutions u and v satisfying the condition u=a1vm+a0. We are able to classify all such solutions in terms of the model parameters, and we then discuss the planar dynamics of such solutions. Numerical solutions are obtained and discussed for a variety of parameter regimes. Such results are one possible generalization of those given by Wu et al. [L. Wu, S. Chen, C. Pang, Traveling wave solutions for generalized Drinfeld-Sokolov equations, Applied Mathematical Modeling 33 (2009) 4126-4130]. © 2012 Elsevier Inc. All rights reserved.

Publication Date

6-1-2012

Publication Title

Consciousness and Cognition

Volume

21

Issue

19

Number of Pages

969-975

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.concog.2011.12.010

Socpus ID

84860510105 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84860510105

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