Journal of Applied Mathematics and Stochastic Analysis
Volume 7 (1994), Issue 1, Pages 1-12
doi:10.1155/S1048953394000018

Anti-periodic traveling wave solutions to a class of higher-order Kadomtsev-Petviashvili-Burgers equations

Sergiu Aizicovici, Yun Gao, and Shih-Liang Wen

Ohio University, Department of Mathematics, Athens 45701, OH, USA

Received 1 May 1993; Revised 1 September 1993

Copyright © 1994 Sergiu Aizicovici et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We discuss the existence, uniqueness, and continuous dependence on data, of anti-periodic traveling wave solutions to higher order two-dimensional equations of Korteweg-deVries type.