Open AccessNew soliton structures in the (2+1)-dimensional nonlinear KdV equations
Author(s) -
HE Bao-gang,
Chang Xu,
Jie-Fang Zhang
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.5525
Subject(s) - soliton , korteweg–de vries equation , curvilinear coordinates , nonlinear system , variable (mathematics) , physics , dissipative soliton , mathematical analysis , mathematical physics , mathematics , quantum mechanics
A new variable separation approach for the (2+1)-dimensional nonlinear KdV equations is obtained by using variable separation technique and selecting a class of new seed solutions. Some new kinds of periodic soliton structutres, ring form soliton structures and curvilinear soliton structures are revealed by selecting the arbitrary functions appropriately. These structures, which can not be obtained from the formula commonly used in literature, are first reported.