Using the Lamb formalism, we show that some completely integrable homogeneous and inhomogeneous nonlinear Schrödinger (NLS) type equations such as derivative NLS, extended NLS, higher-order NLS, inhomogeneous NLS, circularly and radially symmetric NLS, and generalized inhomogeneous radially symmetric NLS equations can be related to certain types of moving helical space curves
We demonstrate the systematic derivation of a class of discretizations of nonlinear Schrödinger (NLS...
The homoclinic orbits of the integrable nonlinear Schrödinger equation are of interest because of th...
The new derivative nonlinear Schrödinger equation considered by Chen et al., is shown to possess str...
The close connection between the Hasimoto type theory of vortex filament motion, soliton equations a...
We apply our recent formalism establishing new connections between the geometry of moving space cu...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
Currently, in nonlinear optics, models associated with various types of the nonlinear Schrödinger eq...
A method of Sym and Pohlmeyer, which produces geo-metric realizations of many integrable systems, is...
A method of Sym and Pohlmeyer, which produces geo-metric realizations of many integrable systems, is...
In recent years, symmetry in abstract partial differential equations has found wide application in t...
Currently, the variable-coefficient nonlinear Schrödinger (NLS)-typed models have attracted consider...
Integrable systems are derived from inelastic flows of timelike, spacelike, and null curves in 2-and...
A method of Sym and Pohlmeyer, which produces geometric re-alizations of many integrable systems, is...
The persistence of stationary and travelling single-humped localized solutions in the spatial discre...
We demonstrate the systematic derivation of a class of discretizations of nonlinear Schrödinger (NLS...
The homoclinic orbits of the integrable nonlinear Schrödinger equation are of interest because of th...
The new derivative nonlinear Schrödinger equation considered by Chen et al., is shown to possess str...
The close connection between the Hasimoto type theory of vortex filament motion, soliton equations a...
We apply our recent formalism establishing new connections between the geometry of moving space cu...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
Currently, in nonlinear optics, models associated with various types of the nonlinear Schrödinger eq...
A method of Sym and Pohlmeyer, which produces geo-metric realizations of many integrable systems, is...
A method of Sym and Pohlmeyer, which produces geo-metric realizations of many integrable systems, is...
In recent years, symmetry in abstract partial differential equations has found wide application in t...
Currently, the variable-coefficient nonlinear Schrödinger (NLS)-typed models have attracted consider...
Integrable systems are derived from inelastic flows of timelike, spacelike, and null curves in 2-and...
A method of Sym and Pohlmeyer, which produces geometric re-alizations of many integrable systems, is...
The persistence of stationary and travelling single-humped localized solutions in the spatial discre...
We demonstrate the systematic derivation of a class of discretizations of nonlinear Schrödinger (NLS...
The homoclinic orbits of the integrable nonlinear Schrödinger equation are of interest because of th...
The new derivative nonlinear Schrödinger equation considered by Chen et al., is shown to possess str...
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