Group classification of Schrodinger equations with variable mass
Group classification of planar Schr\"odinger equations with position dependent mass is carried out. These equations are defined upto two arbitrary functions which represent a mass and potential. Twenty one class of such equations with different symmetries have been classified.These classes...
Saved in:
| Date: | 2015 |
|---|---|
| Author Affiliations: |
|
| Keywords: | keywords |
| Main Authors: | Zasadko, T., Засадко, Т. |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2015
|
| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/173 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |
|
Institution
Transactions of Institute of Mathematics of NAS of UkraineSimilar Items
Group classification of Schrodinger equations with variable mass
by: T. Zasadko
Published: (2015)
by: T. Zasadko
Published: (2015)
Group classification of Schroedinger equations with variable mass
by: T. Zasadko, et al.
Published: (2014)
by: T. Zasadko, et al.
Published: (2014)
Group analysis of two-dimensional SchrЁodinger equations with variable mass
by: T. M. Zasadko
Published: (2015)
by: T. M. Zasadko
Published: (2015)
Group classification of variable coefficient reaction--diffusion equations with quadratic nonlinearity
by: Vaneeva, O., et al.
Published: (2006)
by: Vaneeva, O., et al.
Published: (2006)
Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables
by: Broadbridge, P., et al.
Published: (2012)
by: Broadbridge, P., et al.
Published: (2012)
Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations
by: Quesne, C.
Published: (2009)
by: Quesne, C.
Published: (2009)
Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions
by: Quesne, C.
Published: (2007)
by: Quesne, C.
Published: (2007)
Group classification of equations of axion electrodynamics
by: O. V. Brahinets
Published: (2022)
by: O. V. Brahinets
Published: (2022)
Hamiltonian Systems Inspired by the Schrödinger Equation
by: Kovalchuk, V., et al.
Published: (2008)
by: Kovalchuk, V., et al.
Published: (2008)
Symmetries and supersymmetries of generalized Schrodinger equations
by: Nikitin, Anatoliy, et al.
Published: (2022)
by: Nikitin, Anatoliy, et al.
Published: (2022)
On group classification of differential equations: algebraic approach
by: Huraka, Sofiia, et al.
Published: (2025)
by: Huraka, Sofiia, et al.
Published: (2025)
Kinetic equation for solitons in sine-Gordon and nonlinear Schrödinger equations
by: Baryakhtar, I.V.
Published: (1999)
by: Baryakhtar, I.V.
Published: (1999)
Classification of Lie reductions of generalized Kawahara equations with variable coefficients
by: O. O. Vanieieva, et al.
Published: (2022)
by: O. O. Vanieieva, et al.
Published: (2022)
The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation
by: Durhuus, B., et al.
Published: (2010)
by: Durhuus, B., et al.
Published: (2010)
Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane
by: Batlle, C., et al.
Published: (2014)
by: Batlle, C., et al.
Published: (2014)
On the theory of the Schrödinger equation with the full set of relativistic corrections
by: Eremko, A.A., et al.
Published: (2018)
by: Eremko, A.A., et al.
Published: (2018)
Integrable hierarchy of higher nonlinear Schrödinger type equations
by: Kundu, A.
Published: (2006)
by: Kundu, A.
Published: (2006)
Inverse Scattering on the Half Line for the Matrix Schrödinger Equation
by: Aktosun, Tuncay, et al.
Published: (2018)
by: Aktosun, Tuncay, et al.
Published: (2018)
Group Classification of Systems of Non-Linear Reaction-Diffusion Equations
by: Nikitin, A.G.
Published: (2005)
by: Nikitin, A.G.
Published: (2005)
Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries
by: Zhdanov, R., et al.
Published: (2005)
by: Zhdanov, R., et al.
Published: (2005)
Preliminary group classification of the general quasi-linear wave equation
by: Basarab-Horwath, P., et al.
Published: (2006)
by: Basarab-Horwath, P., et al.
Published: (2006)
Direct and inverse scattering on the line for one-dimensional Schrödinger equation
by: Bazargan, J.
Published: (2007)
by: Bazargan, J.
Published: (2007)
Self-similar solutions of multi-dimensional nonlinear Schrödinger equations
by: Skoromnaya, S.F., et al.
Published: (2008)
by: Skoromnaya, S.F., et al.
Published: (2008)
Positive solutions to singular non-linear Schrödinger-type equations
by: Liskevich, V., et al.
Published: (2009)
by: Liskevich, V., et al.
Published: (2009)
Group classification of a class of Kolmogorov equations with time-dependent coefficients
by: V. V. Davydovych
Published: (2016)
by: V. V. Davydovych
Published: (2016)
On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients
by: Nabiev, A.A., et al.
Published: (2015)
by: Nabiev, A.A., et al.
Published: (2015)
Inverse Scattering Problem for One-Dimensional Schrödinger Equation with Discontinuity Conditions
by: Huseynov, H.M., et al.
Published: (2013)
by: Huseynov, H.M., et al.
Published: (2013)
Schrödinger-like Dilaton Gravity
by: Nakayama, Yu
Published: (2011)
by: Nakayama, Yu
Published: (2011)
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
by: Nikitin, A.G.
Published: (2007)
by: Nikitin, A.G.
Published: (2007)
Quasi-relativistic center-of-mass variables in applications
by: Gaida, R., et al.
Published: (1998)
by: Gaida, R., et al.
Published: (1998)
Global Existence and Long-Term Behavior of a Nonlinear Schrödinger-Type Equation
by: Soltanov, K.N.
Published: (2015)
by: Soltanov, K.N.
Published: (2015)
Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
by: Yamane, H.
Published: (2015)
by: Yamane, H.
Published: (2015)
Solutions of Nonlinear Schrodinger Equation with Two Potential Wells in Linear/Nonlinear Media
by: V. S. Gerasimchuk, et al.
Published: (2016)
by: V. S. Gerasimchuk, et al.
Published: (2016)
Stability of exact solutions of the cubic-quintic nonlinear Schrödinger equation with periodic potential
by: Kengne, E., et al.
Published: (2010)
by: Kengne, E., et al.
Published: (2010)
Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media
by: Gerasimchuk, V.S., et al.
Published: (2016)
by: Gerasimchuk, V.S., et al.
Published: (2016)
Preliminary group classification of general two-dimensional quasi-linear elliptic type equations
by: Spichak, S., et al.
Published: (2006)
by: Spichak, S., et al.
Published: (2006)
Classification of Maldi-tof Mass Spectrometry Data in the Analysis of Cancer Patients
by: Małgorzata Plechawska
Published: (2010)
by: Małgorzata Plechawska
Published: (2010)
Schrödinger Operators with Purely Discrete Spectrum
by: Simon, B.
Published: (2009)
by: Simon, B.
Published: (2009)
Spectral Analysis of Certain Schrödinger Operators
by: Ismail, Mourad E.H., et al.
Published: (2012)
by: Ismail, Mourad E.H., et al.
Published: (2012)
Group analysis of a class of reaction-diffusion equations with variable coefficients
by: O. O. Vanieieva, et al.
Published: (2014)
by: O. O. Vanieieva, et al.
Published: (2014)
Similar Items
-
Group classification of Schrodinger equations with variable mass
by: T. Zasadko
Published: (2015) -
Group classification of Schroedinger equations with variable mass
by: T. Zasadko, et al.
Published: (2014) -
Group analysis of two-dimensional SchrЁodinger equations with variable mass
by: T. M. Zasadko
Published: (2015) -
Group classification of variable coefficient reaction--diffusion equations with quadratic nonlinearity
by: Vaneeva, O., et al.
Published: (2006) -
Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables
by: Broadbridge, P., et al.
Published: (2012)