Multicomplex solitons
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Publication:5240824
DOI10.1080/14029251.2020.1683963zbMath1436.35065arXiv1812.02111OpenAlexW2902979222WikidataQ127024754 ScholiaQ127024754MaRDI QIDQ5240824
Publication date: 29 October 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.02111
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solitary waves in solid mechanics (74J35) Soliton solutions (35C08)
Related Items (3)
Bicomplex modules with indefinite inner product ⋮ New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics ⋮ Lie sphere geometry in nuclear scattering processes
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Cites Work
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- Relativistic quantum physics with hyperbolic numbers
- Fundamental representations and algebraic properties of biquaternions or complexified quaternions
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- Regularized degenerate multi-solitons
- Nonstandard bilinearization of \(\mathcal{PT}\)-invariant nonlocal nonlinear Schrödinger equation: bright soliton solutions
- Bicomplex harmonic and isotonic oscillators: the excited states
- Hyperbolic Hilbert space
- Multicomplex wave functions for linear and nonlinear Schrödinger equations
- On the quantum mechanics of bicomplex Hamiltonian system
- Complex solitons with real energies
- Eigenvalue structure of a Bose–Einstein condensate in a $\mathcal {PT}$-symmetric double well
- Bicomplex Numbers and their Elementary Functions
- Time-delay and reality conditions for complex solitons
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- On complexified mechanics and coquaternions
- Bifurcations and exceptional points in a ${ \mathcal P }{ \mathcal T }$-symmetric dipolar Bose–Einstein condensate
- Bicomplex hamiltonian systems in quantum mechanics
- Quark structure and octonions
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions
- Degenerate multi-solitons in the sine-Gordon equation
- Integrable nonlocal Hirota equations
- Quantum systems with finite Hilbert space: Galois fields in quantum mechanics
- Dynamical behaviour of solitons in a \(\mathcal{P} \mathcal{T} \)-invariant nonlocal nonlinear Schrödinger equation with distributed coefficients
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