caa a22 4500 463197100 CHVBK 20180406164925.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s10773-006-9327-5 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9327-5 Bäcklund Transformations, Solitary Waves, Conoid Waves and Bessel Waves of the (2+1)-Dimensional Euler equation [Elektronische Daten] [Sen Lou, Man Jia, Fei Huang, Xiao Tang] Some simple special Bäcklund transformation theorems are proposed and utilized to obtain exact solutions for the (2+1)-dimensional Euler equation. It is found that the (2+1)-dimensional Euler equation possesses abundant soliton or solitary wave structures, conoid periodic wave structures and the quasi-periodic Bessel wave structures on account of the arbitrary functions in its solutions. Moreover, all solutions of the arbitrary two dimensional nonlinear Poisson equation can be used to construct exact solutions of the (2+1)-dimensional Euler equation. Springer Science+Business Media, LLC, 2007 Bäcklund transformations theorems nationallicence (2+1)-dimensional Euler equation nationallicence Solitary waves nationallicence Conoid periodic wave nationallicence Bessel wave nationallicence Lou Sen Center of Nonlinear Science, Ningbo University, 315211, Ningbo, China aut Jia Man Center of Nonlinear Science, Ningbo University, 315211, Ningbo, China aut Huang Fei Center of Nonlinear Science, Ningbo University, 315211, Ningbo, China aut Tang Xiao Center of Nonlinear Science, Ningbo University, 315211, Ningbo, China aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/8(2007-08-01), 2082-2095 0020-7748 46:8<2082 2007 46 10773 https://doi.org/10.1007/s10773-006-9327-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9327-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lou Sen Center of Nonlinear Science, Ningbo University, 315211, Ningbo, China aut NATIONALLICENCE 700 1- Jia Man Center of Nonlinear Science, Ningbo University, 315211, Ningbo, China aut NATIONALLICENCE 700 1- Huang Fei Center of Nonlinear Science, Ningbo University, 315211, Ningbo, China aut NATIONALLICENCE 700 1- Tang Xiao Center of Nonlinear Science, Ningbo University, 315211, Ningbo, China aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/8(2007-08-01), 2082-2095 0020-7748 46:8<2082 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer