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2004 Volume 13 Issue 3
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Zhang Yu-Feng. 2004: A generalized SHGI integrable hierarchy and its expanding integrable model, Chinese Physics B, 13(3): 307-311.
Citation: Zhang Yu-Feng. 2004: A generalized SHGI integrable hierarchy and its expanding integrable model, Chinese Physics B, 13(3): 307-311.
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A generalized SHGI integrable hierarchy and its expanding integrable model

  • Institute of Mathematics, Information School, Shandong University of Sciences and Technology, Taian 271019, China

  • Corresponding author: Zhang Yu-Feng
  • Available Online: 30/03/2004
  • An anti-symmetric loop algebra A2 is constructed. It follows that an integrable system is obtained by use of Tu's scheme. The eminent feature of this integrable system is that it is reduced to a generalized Schrodinger equation, the well-known heat-conduction equation and a Gerdjkov-Ivanov (GI) equation. Therefore, we call it a generalized SHGI hierarchy. Next, a new high-dimensional subalgebra G of the loop algebra A2 is constructed. As its application, a new expanding integrable system with six potential functions is engendered.
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A generalized SHGI integrable hierarchy and its expanding integrable model

    Corresponding author: Zhang Yu-Feng
  • Available Online: 30/03/2004

Abstract: An anti-symmetric loop algebra A2 is constructed. It follows that an integrable system is obtained by use of Tu's scheme. The eminent feature of this integrable system is that it is reduced to a generalized Schrodinger equation, the well-known heat-conduction equation and a Gerdjkov-Ivanov (GI) equation. Therefore, we call it a generalized SHGI hierarchy. Next, a new high-dimensional subalgebra G of the loop algebra A2 is constructed. As its application, a new expanding integrable system with six potential functions is engendered.

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