Darboux transformations for super-Schrödinger equation, super-Dirac equation and their exact solutions
From MaRDI portal
Publication:1681754
DOI10.1007/s11071-016-3308-xzbMath1375.37161OpenAlexW2568413272MaRDI QIDQ1681754
Publication date: 24 November 2017
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-016-3308-x
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items
Construction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation, Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation, Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev-Petviashvili equation, American Institute of Mathematical Sciences, Mixed Local-Nonlocal Vector Schrödinger Equations and Their Breather Solutions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two reliable methods for solving the Volterra integral equation with a weakly singular kernel
- Expansions for the Dirac operator and related operators in super spinor space
- Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities
- A family of super Schrödinger invariant Chern-Simons matter systems
- The finite-dimensional super integrable system of a super NLS-mKdV equation
- Solutions of super linear Dirac equations with general potentials
- Darboux transformation and conservation laws of a integrable evolution equations with \(3 \times 3\) Lax pairs
- Classification of integrable super-systems using the Sstools environment
- The exact solutions and the relevant constraint conditions for two nonlinear Schrödinger equations with variable coefficients
- Lie algebras and Lie super algebra for the integrable couplings of NLS-mKdV hierarchy
- Two super-integrable hierarchies and their super-Hamiltonian structures
- Matter rogue waves and management by external potentials for coupled Gross-Pitaevskii equation
- Conformal symmetries of the super Dirac operator
- Integrability and exact solutions of a two-component Korteweg-de Vries system
- Super Brockett equations: a graded gradient integrable system
- Extended superconformal Galilean symmetry in Chern-Simons matter systems
- Nonautonomous rogue waves and `catch' dynamics for the combined Hirota-LPD equation with variable coefficients
- Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources
- Solutions of non-periodic super-quadratic Dirac equations
- A convexity theorem for three tangled Hamiltonian torus actions, and super-integrable systems
- Reply to: ``Comment on: `Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation' [Phys. Lett. A 361 (2007) 520]
- An extended modified KdV equation and its Painlevé integrability
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Wave Propagation in Nonlinear Lattice. I
- QUANTUM RESOLUTION OF THE NONLINEAR SUPER-SCHRÖDINGER EQUATION
- Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
- A supertrace identity and its applications to superintegrable systems
- A subalgebra of Lie algebra A2 and its associated two types of loop algebras, as well as Hamiltonian structures of integrable hierarchy
- The Painlevé property for partial differential equations
- Symmetries and supersymmetries of the quantum harmonic oscillator
- Inverse scattering on the line
- A new hierarchy of integrable differential-difference equations and Darboux transformation
- On Schrödinger superalgebras
- Bäcklund transformations and loop group actions
- An approach to generate superextensions of integrable systems
- Integrable properties of the general coupled nonlinear Schrödinger equations
- DARBOUX TRANSFORMATION OF THE MODIFIED TODA LATTICE EQUATION
