A (2 + 1)-dimensional integrable hierarchy and its extending integrable model |
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| Affiliation: | 1. Department of Mathematics and Center of Nonlinear Equations, China University of Mining and Technology, Xuzhou 221116, People’s Republic of China;2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom;1. Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia;2. Malaysia-Italy Centre of Excellence for Mathematical Science, Universiti Putra Malaysia, Serdang, Malaysia;3. Department of Mathematics, Universiti Putra Malaysia, Serdang, Malaysia;4. Department of Mathematics, Siksha Bhavana, Visva-Bharati University, Santiniketan 731235, India |
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| Abstract: | A loop algebra is constructed, whose subalgebra is first used to present a Lax pair. By making use of the Tu scheme by Tu Guizhang, a generalized (2 + 1)-dimensional KN hierarchy is worked out. Further, based on the associated relations between the subalgebras in the above loop algebra, an extending integrable model of the generalized (2 + 1)-dimensional KN hierarchy as above is produced. |
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