Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Blas, H."'
Autor:
Blas, H., Quicaño, R.
We explore the Faddeev-Jackiw symplectic Hamiltonian reduction of the $sl(2)$ affine Toda model coupled to matter (ATM), which includes new parametrizations for a scalar field and a Grassmannian fermionic field. The structure of constraints and sympl
Externí odkaz:
http://arxiv.org/abs/2408.01608
Autor:
Blas, H., DeLaCruz-Araujo, Ronal A., Reynaldo Jr., N. I., Santos, N., Tech, S., Cardoso, H. E. P.
A Boussinesq system for a non-linear shallow water is considered. The nonlinear and topological effects are examined through an associated matrix spectral problem. It is shown an equivalence relationship between the bound states and topological solit
Externí odkaz:
http://arxiv.org/abs/2305.04037
A two-dimensional field theory of a fermion chirally coupled to Toda field plus a scalar self-coupling potential is considered. Using techniques of integrable systems we obtain analytical zero modes, in-gap states and bound states in the continuum (B
Externí odkaz:
http://arxiv.org/abs/2207.01161
Publikováno v:
Int. J. Mod. Phys. B36 (2022) 2250070
A dual Riccati-type pseudo-potential formulation is introduced for a modified AKNS system (MAKNS) and infinite towers of novel anomalous conservation laws are uncovered. In addition, infinite towers of exact non-local conservation laws are uncovered
Externí odkaz:
http://arxiv.org/abs/2203.14745
Some modified (defocusing) non-linear Schr\"odinger models (MNLS) possess infinite towers of anomalous conservation laws with asymptotically conserved charges. The so-called anomalies of the quasi-conservation laws vanish upon space-time integration
Externí odkaz:
http://arxiv.org/abs/2102.07190
Modifications of the non-linear Schr\"odinger model (MNLS) $ i \partial_{t} \psi(x,t) + \partial^2_{x} \psi(x,t) - [\frac{\delta V}{\delta |\psi|^2} ] \psi(x,t) = 0,$ where $\psi \in C$ and $V: R_{+} \rightarrow R$, are considered. We show that the M
Externí odkaz:
http://arxiv.org/abs/2007.13910
Publikováno v:
J. High Energ. Phys. 2020, 136 (2020)
We found, through analytical and numerical methods, new towers of infinite number of asymptotically conserved charges for deformations of the Korteweg-de Vries equation (KdV). It is shown analytically that the standard KdV also exhibits some towers o
Externí odkaz:
http://arxiv.org/abs/2001.02471
We consider a set of equations of the form $p_j (x,y) = (10 x+m_j)(10 y + n_j),\,\,x\geq 0, y\geq0$, $j=1,2,3$, such that $\{m_1=7, n_1=3\}$, $\{m_2=n_2=9\}$ and $\{m_3=n_3=1\}$, respectively. It is shown that if $(a(p_j),b(p_j)) \in N \times N$ is a
Externí odkaz:
http://arxiv.org/abs/1808.06145
Deformed sine-Gordon (DSG) models $\partial_\xi \partial_\eta \, w + \frac{d}{dw}V(w) = 0$, with $V(w)$ being the deformed potential, are considered in the context of the Riccati-type pseudopotential approach. A compatibility condition of the deforme
Externí odkaz:
http://arxiv.org/abs/1801.00866
Deformations of the focusing non-linear Schr\"odinger model (NLS) are considered in the context of the quasi-integrability concept. We strengthen the results of JHEP09(2012)103 for bright soliton collisions. We addressed the focusing NLS as a complem
Externí odkaz:
http://arxiv.org/abs/1610.07503