基于李代数sl(m+1,R)的多分量扰动AKNS孤子梯队

Abstract

Abstract: A new multicomponent matrix spectral problem associated with the Lie algebra sl(m+1,R) is proposed, and new perturbed AKNS soliton hierarchy is generated by the corresponding zero curvature formulation. By virtue of the trace identity, a bi-Hamiltonian structure is established for the hierarchy, and a common hereditary recursion operator is explicitly worked out.

Key words: Matrix spectral problem, Perturbed AKNS soliton hierarchy, Bi-Hamiltonian structure, Recursion operator, sl (m+1,R)

CLC Number:

Di Yanmei, Li Chunxia, Shen Shoufeng, Ma Wenxiu. Multicomponent Perturbed AKNS Soliton Hierarchy Associated with the Lie Algebra sl(m + 1, R)[J].Acta mathematica scientia,Series A, 2018, 38(1): 24-33.

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References

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Multicomponent Perturbed AKNS Soliton Hierarchy Associated with the Lie Algebra sl(m + 1, R)

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