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Nonlinear evolution equations admitting multilinear variable separable solutions

J. Math. Phys. 50, 103522 (2009); doi:10.1063/1.3238300

Published 7 October 2009

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Changzheng Qu1,2 and Shoufeng Shen1,3
1Center for Nonlinear Studies, Northwest University, Xi'an 710069, China
2Department of Mathematics, Northwest University, Xi'an 710069, China
3Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China
Based on the Hirota's bilinear transformation method, it is shown that a family of nonlinear partial differential equations admit multilinear variable separation solutions. This extends the class of nonlinear partial differential equations which admit the multilinear variable separation solutions. ©2009 American Institute of Physics
History: Received 5 May 2009; accepted 2 September 2009; published 7 October 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/103522/1
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KEYWORDS and PACS

Keywords
PACS
  • 02.30.Jr
    Partial differential equations
  • 02.30.Rz
    Integral equations
  • YEAR: 2009

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ISSN:
0022-2488 (print)   1089-7658 (online)
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