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Dynamics and stability of soliton solutions for the seventh-order Sawada-Kotera-Ito equation with applications. [PDF]

open access: yesSci Rep
Nimra N   +8 more
europepmc   +1 more source

Darboux Transformation and A-operator

open access: yesDarboux Transformation and A-operator
Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u is proved based on the Kupershmidt-Wilson factorization of the associated ∧-operator ∧(u)=∂^・(2^u'+u∂-4^∂^3). Secondly, elementary algebraic properties of the Darboux transformation are studied with the aid of ∧-operator.
openaire  

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