13 citations · 14 across the 4 of their papers we have counts for
5 papers
Variable-mass sine-Gordon with point defects: integrability, soliton transmission, and quasi-conservation
A. R. Aguirre, H. Blas, H. F. Callisaya +1
We study integrable variable-mass sine-Gordon model (vmSG) with point defects. Using the Lax and Bäcklund-gauge formulations, we construct type-I and type-II defect matrices, deriv…
Riccati-type pseudo-potential approach to quasi-integrability of deformed soliton theories
Harold Blas
This review paper explores the Riccati-type pseudo-potential formulation applied to the quasi-integrable sine-Gordon, KdV, and NLS models. The proposed framework provides a unified…
Asymptotically conserved charges and 2-kink collision in quasi-integrable potential KdV models
Harold Blas
We study a particular deformation of the potential KdV model (pKdV) and construct the quasi-conservation laws by a direct method. The charge densities, differing from their integra…
Quasi-integrable KdV models, towers of infinite number of anomalous charges and soliton collisions
H. Blas, R. Ochoa, D. Suarez
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 i…
Riccati-type pseudopotentials, conservation laws and solitons of deformed sine-Gordon models
H. Blas, H. F. Callisaya, J. P. R. Campos
Deformed sine-Gordon (DSG) models , with being the deformed potential, are considered in the context of the Riccati-type pse…