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Self‐Consistent Sources and Conservation Laws for Nonlinear Integrable Couplings of the Li Soliton Hierarchy

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  • Han-yu Wei
  • Tie-cheng Xia

Abstract

New explicit Lie algebras are introduced for which the nonlinear integrable couplings of the Li soliton hierarchy are obtained. Then, the nonlinear integrable couplings of Li soliton hierarchy with self‐consistent sources are established. Finally, we present the infinitely many conservation laws for the nonlinear integrable coupling of Li soliton hierarchy.

Suggested Citation

  • Han-yu Wei & Tie-cheng Xia, 2013. "Self‐Consistent Sources and Conservation Laws for Nonlinear Integrable Couplings of the Li Soliton Hierarchy," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:598570
    DOI: 10.1155/2013/598570
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    References listed on IDEAS

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    1. Ma, W.X. & Fuchssteiner, B. & Oevel, W., 1996. "A 3 sx 3 matrix spectral problem for AKNS hierarchy and its binary nonlinearization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 331-354.
    2. Guo, Fukui & Zhang, Yufeng, 2007. "The integrable coupling of the AKNS hierarchy and its Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1898-1902.
    3. Hossein Jafari & Nematollah Kadkhoda & Chaudry Masood Khalique, 2012. "Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp‐Function Methods," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Hossein Jafari & Nematollah Kadkhoda & Chaudry Masood Khalique, 2012. "Exact Solutions of Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, December.
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