A Study on Rational Solutions to a KP-like Equation-Reference-Cited by-同舟云学术

A Study on Rational Solutions to a KP-like Equation

Published:2015-03-12 Issue:4 Volume:70 Page:263-268
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Zhang Yufeng¹,Ma Wen-Xiu²

Affiliation:

1. College of Sciences, China University of Mining and Technology, Xuzhou 221116, PR China

2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA

Abstract

Abstract A KP-like nonlinear differential equation is introduced through a generalised bilinear equation which possesses the same bilinear form as the standard KP bilinear equation. By symbolic computation, nine classes of rational solutions to the resulting KP-like equation are generated from a search for polynomial solutions to the corresponding generalised bilinear equation. Three generalised bilinear differential operators adopted are associated with the prime number p=3.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2014-0361/pdf

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