Fractional stochastic Schrödinger evolution system with complex potential and poisson jumps: Qualitative behavior and T-controllability

Sandrasekaran, Varshini; Kasinathan, Ravikumar; Kasinathan, Ramkumar; Chalishajar, Dimplekumar; Kasinathan, Dhanalakshmi

doi:10.1016/j.padiff.2024.100713

Partial Differential Equations in Applied Mathematics

2024

DOI: 10.1016/j.padiff.2024.100713

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Fractional stochastic Schrödinger evolution system with complex potential and poisson jumps: Qualitative behavior and T-controllability

Varshini Sandrasekaran,

Ravikumar Kasinathan,

Ramkumar Kasinathan

et al.

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Integrable Couplings and Two-Dimensional Unital Algebras

2024

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The paper aims to demonstrate that a linear expansion in a unital two-dimensional algebra can generate integrable couplings, proposing a novel approach for their construction. The integrable couplings presented encompass a range of perturbation equations and nonlinear integrable couplings. Their corresponding Lax pairs and hereditary recursion operators are explicitly detailed. Concrete applications to the KdV equation and the AKNS system of nonlinear Schrödinger equations are extensively explored.

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Integrable Couplings and Two-Dimensional Unital Algebras

2024

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Fractional stochastic Schrödinger evolution system with complex potential and poisson jumps: Qualitative behavior and T-controllability

Cited by 1 publication

References 29 publications

Integrable Couplings and Two-Dimensional Unital Algebras

Integrable Couplings and Two-Dimensional Unital Algebras

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