Jiaquan Liu and Zhi-Qiang Wang 2008 Nonlinearity 21 121 doi:10.1088/0951-7715/21/1/007
Jiaquan Liu1 and Zhi-Qiang Wang2
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This paper is concerned with constructing various types of symmetric solutions for the modified nonlinear Schrödinger equations which have appeared as several models in mathematical physics. We give a theoretic approach to deal with multi-bump type soliton solutions whose bumps exhibit symmetric patterns and whose energies are sums of the energies of solitons to some limiting problems. Our methods can handle various types of symmetric domains such as annular domains, spheres and spherical cylinders.
35Q51 Solitons (See also 37K40)
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
Issue 1 (January 2008)
Received 13 June 2007, in final form 30 October 2007
Published 17 December 2007
Jiaquan Liu and Zhi-Qiang Wang 2008 Nonlinearity 21 121
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