[HTML][HTML] Hasimoto variables, generalized vortex filament equations, Heisenberg models and Schrödinger maps arising from group-invariant NLS systems
The deep geometrical relationships holding among the NLS equation, the vortex filament
equation, the Heisenberg spin model, and the Schrödinger map equation are extended to …
equation, the Heisenberg spin model, and the Schrödinger map equation are extended to …
Darboux–Bäcklund transformations, generalized Bianchi's permutability theorem and exact solutions of a novel coupled modified Korteweg–de Vries system
E Asadi, Z Ranjbar Niari, S Noori - Journal of Mathematical Physics, 2025 - pubs.aip.org
In our research, we explore a coupled mKdV system within the Yijima–Oikawa long-wave–
short-wave hierarchy, involving both real and complex dynamical variables. By establishing …
short-wave hierarchy, involving both real and complex dynamical variables. By establishing …
Nonlocal -invariant nonlinear Schrödinger system from geometric non-stretching curve flow in
E Asadi - International Journal of Geometric Methods in Modern …, 2021 - World Scientific
A new U (1)-invariant nonlocal coupled nonlinear Schrödinger type system consists of a real
scalar and two different complex variables as well as its equivalent imaginary quaternionic …
scalar and two different complex variables as well as its equivalent imaginary quaternionic …