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Browsing by Author "Saxena, Avadh"
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Article
Cross section measurements of 155,157Gd(n, γ) induced by thermal and epithermal neutrons
Mastromarco, Mario; Manna, A.; Aberle, Oliver; Andrzejewski, J.; Audouin, L.; Bacak, M.; Balibrea, J.; Barbagallo, M.; Cortés Giraldo, Miguel Antonio; Guerrero Sánchez, Carlos; Lerendegui Marco, Jorge; Quesada Molina, José Manuel; Saxena, Avadh (Springer Nature, 2019)Neutron capture cross section measurements on 155Gd and 157Gd were performed using the timeofflight technique at the ...

Article
Erratum: Nonlinear Dirac equation solitary waves in external fields [Phys. Rev. E 86, 046602 (2012)]
Mertens, Franz G.; Quintero, Niurka R.; Cooper, Fred; Khare, Avinash; Saxena, Avadh (American Physical Society, 2016) 
Article
Forced nonlinear Schrödinger equation with arbitrary nonlinearity
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Mertens, Franz G.; Saxena, Avadh (2012)We consider the nonlinear Schrödinger equation (NLSE) in 1+1 dimension with scalarscalar selfinteraction g2κ+1(ψ☆ψ)κ+1 ...

Article
Interplay between paritytime symmetry, supersymmetry, and nonlinearity: An analytically tractable case example
Kevrekidis, Panayotis G.; CuevasMaraver, Jesús; Saxena, Avadh; Cooper, Fred; Khare, Avinash (American Physical Society, 2015)In the present work, we combine the notion of paritytime (PT ) symmetry with that of supersymmetry (SUSY) for a prototypical ...

Article
Nonlinear Dirac equation solitary waves in external fields
Mertens, Franz G.; Quintero, Niurka R.; Cooper, Fred; Khare, Avinash; Saxena, Avadh (2012)We consider nonlinear Dirac equations (NLDE's) in the 1+1 dimension with scalarscalar selfinteraction g2κ+1(Ψ¯¯¯Ψ)κ+1 ...

Article
Nonlinear Dirac equation solitary waves under a spinor force with different components
Mertens, Franz G.; Cooper, Fred; Sihong, Shao; Quintero, Niurka R.; Saxena, Avadh; Bishop, Alan R. (IOP, 2017)We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalarscalar selfinteraction in the presence of ...

Chapter of Book
Nonlinearity and Topology
Saxena, Avadh; Kevrekidis, Panayotis G.; CuevasMaraver, Jesús (Springer Nature, 2020)The interplay of nonlinearity and topology results in many novel and emergent properties across a number of physical ...

Article
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; SánchezRey, Bernardo; Mertens, Franz G.; Saxena, Avadh (IOP Publishing, 202001)The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter κ is analyzed, when ...

Article
PT Symmetric dimer in a generalized model of coupled nonlinear oscillators
CuevasMaraver, Jesús; Khare, Avinash; Kevrekidis, Panayotis G.; Xu, Haitao; Saxena, Avadh (Springer, 2015)In the present work, we explore the case of a general PT symmetric dimer in the context of two both linearly and nonlinearly ...

Article
PTsymmetric dimer of coupled nonlinear oscillators
CuevasMaraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh; Khare, Avinash (2013)We provide a systematic analysis of a prototypical nonlinear oscillator system respecting PT symmetry i.e., one of them ...

Article
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and paritytime symmetry
Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh (IOP, 2017)We discuss the effect of small perturbation on nodeless solutions of the nonlinear Schrödinger equation in 1 + 1 dimensions ...

Article
Solitary waves in a discrete nonlinear Dirac equation
CuevasMaraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh (2015)In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the form of a discretization ...

Article
Solitary waves in a twodimensional nonlinear Dirac equation: from discrete to continuum
CuevasMaraver, Jesús; Kevrekidis, Panayotis G.; Aceves, A. B.; Saxena, Avadh (Institute of Physics (IOP), 2017)In the present work, we explore a nonlinear Dirac equation motivated as the continuum limit of a binary waveguide array ...

Chapter of Book
Solitary waves in the Nonlinear Dirac Equation
CuevasMaraver, Jesús; Boussaïd, Nabile; Comech, Andrew; Lan, Ruomeng; Kevrekidis, Panayotis G.; Saxena, Avadh (Springer Nature Switzerland AG, 2018)In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. ...

Chapter of Book
Solitary Waves in the Nonlinear Dirac Equation at the Continuum Limit: Stability and Dynamics
Cuevas Maraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh; Cooper, Fred; Mertens, Franz G. (Nova, 2015)In the present work, we give a comparative summary of different recent contributions to the theme of the linear stability ...

Article
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces
Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Sihong, Shao; Khare, Avinash; Saxena, Avadh (IOP, 2016)We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalarscalar selfinteraction in the presence of ...

Article
Solitary waves of a PT symmetric Nonlinear Dirac equation
CuevasMaraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh; Cooper, Fred; Khare, Avinash; Comech, Andrew; Bender, Carl M. (IEEE, 2016)In the present work, we consider a prototypical example of a PT symmetric Dirac model. We discuss the underlying linear ...

Article
Speedoflight pulses in a massless nonlinear dirac equation
CuevasMaraver, Jesús; Kevrekidis, Panayotis G.; Mertens, Franz G.; Saxena, Avadh (American Physical Society, 2019)In this work, we explore a massless nonlinear Dirac equation, i.e., a nonlinear Weyl equation. We study the dynamics of ...

Article
Speedoflight pulses in the massless nonlinear Dirac equation with a potential
Quintero, Niurka R.; Mertens, Franz G.; Cooper, Fred; Saxena, Avadh; Bishop, Alan R. (American Physical Society, 2017)We consider the massless nonlinear Dirac (NLD) equation in 1+1 dimension with scalar scalar selfinteraction g² ̸ 2 (ψ ...

Article
Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model
CuevasMaraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh; Comech, Andrew; Lan, Ruomeng (American Physical Society (APS), 2016)We explore a prototypical twodimensional massive model of the nonlinear Dirac type and examine its solitary wave and ...