• Corpus ID: 221090661

Integrable spinor/quaternion generalizations of the nonlinear Schrodinger equation

  title={Integrable spinor/quaternion generalizations of the nonlinear Schrodinger equation},
  author={Stephen C. Anco and Ahmed M. G. Ahmed and Esmaeel Asadi},
  journal={arXiv: Mathematical Physics},
An integrable generalization of the NLS equation is presented, in which the dynamical complex variable $u(t,x)$ is replaced by a pair of dynamical complex variables $(u_1(t,x),u_2(t,x))$, and $i$ is replaced by a Pauli matrix $J$. Integrability is retained by the addition of a nonlocal term in the resulting 2-component system. A further integrable generalization is obtained which involves a dynamical scalar variable and an additional nonlocal term. For each system, a Lax pair and a bi… 

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