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A Integrable Generalized Super‐NLS‐mKdV Hierarchy, Its Self‐Consistent Sources, and Conservation Laws

Hanyu Wei and Tiecheng Xia

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: A generalized super‐NLS‐mKdV hierarchy is proposed related to Lie superalgebra B(0,1); the resulting supersoliton hierarchy is put into super bi‐Hamiltonian form with the aid of supertrace identity. Then, the super‐NLS‐mKdV hierarchy with self‐consistent sources is set up. Finally, the infinitely many conservation laws of integrable super‐NLS‐mKdV hierarchy are presented.

Date: 2018
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https://doi.org/10.1155/2018/1396794

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