Structure of a fourth-order dispersive flow equation through the generalized Hasimoto transformation
E Onodera - The Journal of Geometric Analysis, 2024 - Springer
This paper focuses on a one-dimensional fourth-order nonlinear dispersive partial
differential equation for curve flows on a Kähler manifold. The equation arises as a fourth …
differential equation for curve flows on a Kähler manifold. The equation arises as a fourth …
Hasimoto maps for nonlinear Schrödinger equations in Minkowski space
NE Gürbüz, ZK Yüzbası, DW Yoon - Journal of Nonlinear Mathematical …, 2022 - Springer
In this paper, we study the vortex filament flow for timelike and spacelike curves in
Minkowski 3-space. The vortex filament flow equations of the timelike and the spacelike …
Minkowski 3-space. The vortex filament flow equations of the timelike and the spacelike …
Pseudo‐solitonic magnetic flows associated with nonlinear integrable systems in the Minkowski 3‐space
RC Demirkol - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
In this paper, we introduce a novel class of magnetic curves and call it pseudo‐solitonic
magnetic curves by considering the connection between two significant types of integrable …
magnetic curves by considering the connection between two significant types of integrable …
Vortex filament flows for curves in a 3-dimensional pseudo-Riemannian manifold
ZK Yüzbai, NE Gürbüz, HC Lee, DW Yoon - Aequationes mathematicae, 2024 - Springer
In this work, we focus on the evolution of the vortex filament flow∂ γ∂ t=∂ γ∂ s∧ D ds∂
γ∂ s for spacelike and timelike curves in a 3-dimensional pseudo-Riemannian manifold. We …
γ∂ s for spacelike and timelike curves in a 3-dimensional pseudo-Riemannian manifold. We …
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 …
Integrable spinor/quaternion generalizations of the nonlinear Schrodinger equation
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) …
complex variable $ u (t, x) $ is replaced by a pair of dynamical complex variables $(u_1 (t, x) …