A generalized leznov lattice: Bilinear form, backlund transformation, and lax pair
نویسندگان
چکیده
منابع مشابه
Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension
As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. We have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear Backlund transformations and construction of ...
متن کاملmulti soliton solutions, bilinear backlund transformation and lax pair of nonlinear evolution equation in (2+1)-dimension
as an application of hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. we have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear backlund transformations and construction of ...
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In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via Hirota’s bilinear formalism. As a result, two integrable semi-discrete versions and one fully discrete version for the Leznov lattice are found. Bäcklund transformations, nonlinear superposition formulae and Lax pairs for these discrete versions are presented. Mathematics Subject Classificatio...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2004
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(04)90008-0