A real nonlinear integrable couplings of continuous soliton hierarchy and its Hamiltonian structure |
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Authors: | Fajun Yu |
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Institution: | School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China |
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Abstract: | Some integrable coupling systems of existing papers are linear integrable couplings. In the Letter, beginning with Lax pairs from special non-semisimple matrix Lie algebras, we establish a scheme for constructing real nonlinear integrable couplings of continuous soliton hierarchy. A direct application to the AKNS spectral problem leads to a novel nonlinear integrable couplings, then we consider the Hamiltonian structures of nonlinear integrable couplings of AKNS hierarchy with the component-trace identity. |
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Keywords: | Nonlinear integrable coupling system Soliton hierarchy Non-semisimple Hamiltonian structure |
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