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A noncommutative negative order AKNS (NC-AKNS(-1)) equation is studied. To show the integrability of the system, we present explicitly the underlying integrable structure such as Lax pair, zero-curvature condition, an… Click to show full abstract
A noncommutative negative order AKNS (NC-AKNS(-1)) equation is studied. To show the integrability of the system, we present explicitly the underlying integrable structure such as Lax pair, zero-curvature condition, an infinite sequence of conserved densities, Darboux transformation (DT) and quasideterminant soliton solutions. Moreover, the NC-AKNS(-1) equation is compared with its commutative counterpart not only on the level of nonlinear evolution equation but also for the explicit solutions.
Keywords:
order akns;
noncommutative negative;
soliton solutions;
equation;
negative order;
akns equation
Journal Title: Modern Physics Letters A
Year Published: 2018
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Journal Title: Modern Physics Letters A
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!