Edit Profile (opens in new tab) Saxena, Avadh Behari Co-Author Distance Author ID: saxena.avadh-behari Published as: Saxena, Avadh; Saxena, A.; Saxena, Avadh Behari more...less Documents Indexed: 116 Publications since 1966, including 13 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 73 Co-Authors with 104 Joint Publications 1,696 Co-Co-Authors all top 5 Co-Authors 3 single-authored 54 Khare, Avinash 15 Cooper, Fred 15 Kevrekidis, Panayotis G. 8 Bishop, Alan Reginald 8 Dandoloff, Rossen 7 Lookman, Turab 6 Dawson, John F. 6 Mihaila, Bogdan 5 Christov, Ivan C. 5 Rasmussen, Kim Ø. 4 Charalampidis, Efstathios G. 4 Cuevas Maraver, Jesús 4 Habib, Salman 4 Mertens, Franz G. 4 Quintero, Niurka R. 4 Samuelsen, Mogens R. 3 Atanasov, Victor A. 3 Bena, Ioana 3 Benoit, Jérôme 3 Dmitriev, Sergey V. 3 Frantzeskakis, Dimitri J. 3 Lakshmanan, Muthusamy 3 Schmeltzer, D. 2 Arévalo, Edward 2 Balakrishnan, Radha 2 Banerjee, Saikat 2 Berman, Gennady P. 2 Comech, Andrew 2 Decker, Robert J. 2 Deffner, Sebastian 2 Demirkaya, Aslihan 2 Gardas, Bartłomiej 2 Gupta, Sanju 2 Malomed, Boris A. 2 Merkli, Marco 2 Shao, Sihong 2 Sinitsyn, Nikolai A. 2 Xu, Haitao 1 Aceves, Alejandro B. 1 Albers, R. C. 1 Alexeeva, Nora V. 1 Arun, Rahul 1 Barajas, L. G. 1 Barashenkov, Igor V. 1 Barré, Julien 1 Barsch, G. R. 1 Bender, Carl M. 1 Bojowald, Martin 1 Boshier, Malcolm G. 1 Boyko, Daniel 1 Bronold, Franz Xaver 1 Büttner, Helmut 1 Camassa, Roberto 1 Cardenas, Andres 1 del Campo, Adolfo 1 Dobrovitski, V. V. 1 Duzgun, Ayhan 1 Egerstedt, Magnus B. 1 Fujii, Toshiyuki 1 Gaididei, Yuri Borisovich 1 Gani, Vakhid A. 1 Gerdzhikov, Vladimir Stefanov 1 Haraldsen, Jason T. 1 Herring, G. J. 1 Kamen, Edward W. 1 Khare, Apoorva 1 Kress, Tyler 1 Kumar, Pradeep 1 Lan, Ruomeng 1 Law, Kody J. H. 1 Nakatsugawa, K. 1 Nesterov, Alexander I. 1 Neuberger, John W. 1 Nistazakis, Hector E. 1 Rusås, Per-Olav 1 Sánchez-Rey, Bernardo 1 Saxena, R. B. 1 Shen, Yannan 1 Sial, Sultan 1 Subash, B. 1 Tanda, Satoshi 1 Thudiyangal, Mithun 1 Tiron, Roxana 1 Vanossi, A. 1 Varma, Arun Kumar 1 Villain-Guillot, Simon 1 von Hauff, Elizabeth 1 Whitaker, Nathaniel 1 Williams, Floyd L. all top 5 Serials 29 Journal of Physics A: Mathematical and Theoretical 12 Physics Letters. A 10 Journal of Mathematical Physics 8 Annals of Physics 7 Physica D 5 Journal of Physics A: Mathematical and General 3 International Journal of Modern Physics B 3 Physica Scripta 2 Chaos 1 Classical and Quantum Gravity 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Physica A 1 Gaṇita 1 Mathematics and Computers in Simulation 1 International Journal of Production Research 1 Journal of Recreational Mathematics 1 Computational and Applied Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Physical Review Letters 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Springer Series in Solid-State Sciences 1 Acta Crystallographica. Section A 1 Annalen der Physik 1 Nonlinear Systems and Complexity all top 5 Fields 51 Partial differential equations (35-XX) 44 Quantum theory (81-XX) 28 Statistical mechanics, structure of matter (82-XX) 10 Special functions (33-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 425 times in 309 Documents Cited by ▼ Year ▼ Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations. Zbl 1320.35146 Khare, Avinash; Saxena, Avadh 74 2015 Complete integrability of nonlocal nonlinear Schrödinger equation. Zbl 1364.37147 Gerdjikov, V. S.; Saxena, A. 72 2017 Exact solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1069.81016 Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh 31 2005 Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073 Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh 21 2021 Energy minimization using Sobolev gradients: application to phase separation and ordering. Zbl 1097.49002 Sial, S.; Neuberger, J.; Lookman, T.; Saxena, A. 21 2003 Superposition of elliptic functions as solutions for a large number of nonlinear equations. Zbl 1288.35153 Khare, Avinash; Saxena, Avadh 20 2014 On some classes of mKdV periodic solutions. Zbl 1084.35073 Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G. 19 2004 Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes. Zbl 1383.81128 Demirkaya, A.; Decker, R.; Kevrekidis, P. G.; Christov, I. C.; Saxena, A. 15 2017 Exact thermodynamics of the double sinh-Gordon theory in \(1+1\) dimensions. Zbl 0946.81047 Khare, Avinash; Habib, Salman; Saxena, Avadh 15 1997 Linear superposition for a class of nonlinear equations. Zbl 1301.35152 Khare, Avinash; Saxena, Avadh 14 2013 Emerging frontiers in nonlinear science. Zbl 1435.00056 13 2020 Spinor solitons and their \(\mathcal{PT}\)-symmetric offspring. Zbl 1411.81114 Alexeeva, Nora V.; Barashenkov, Igor V.; Saxena, A. 12 2019 Family of potentials with power law kink tails. Zbl 1504.82024 Khare, Avinash; Saxena, Avadh 12 2019 Statistical mechanics of double sinh-Gordon kinks. Zbl 0958.82037 Habib, Salman; Khare, Avinash; Saxena, Avadh 11 1998 Domain wall and periodic solutions of coupled \(\phi^{4}\) models in an external field. Zbl 1112.81030 Khare, Avinash; Saxena, Avadh 10 2006 Exact static solutions to a translationally invariant discrete \(\phi^{4}\) model. Zbl 1113.81094 Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh 9 2007 Novel PT-invariant solutions for a large number of real nonlinear equations. Zbl 1364.81175 Khare, Avinash; Saxena, Avadh 9 2016 Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734 Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Shao, Sihong; Khare, Avinash; Saxena, Avadh 8 2016 Integrable oscillator type and Schrödinger type dimers. Zbl 1357.81112 Khare, Avinash; Saxena, Avadh 7 2017 Higher-order lattice diffraction: solitons in the discrete NLS equation with next-nearest-neighbor interactions. Zbl 1057.82007 Kevrekidis, P. G.; Malomed, B. A.; Saxena, A.; Bishop, A. R.; Frantzeskakis, D. J. 7 2003 Fully nonlinear periodic internal waves in a two-fluid system of finite depth. Zbl 1193.76032 Camassa, R.; Rusås, P.-O.; Saxena, A.; Tiron, R. 6 2010 Half-kink lattice solution of the \(\phi^6\) model. Zbl 1026.82515 Sanati, M.; Saxena, A. 6 1999 Intrinsic localized modes of a classical discrete anisotropic Heisenberg ferromagnetic spin chain. Zbl 1331.82068 Lakshmanan, M.; Subash, B.; Saxena, Avadh 5 2014 Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry. Zbl 1384.35118 Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh 5 2017 Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry. Zbl 1357.35259 Cooper, Fred; Khare, Avinash; Comech, Andrew; Mihaila, Bogdan; Dawson, John F.; Saxena, Avadh 5 2017 Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. Zbl 1129.35457 Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh 4 2007 Domain wall and periodic solutions of a coupled \(\phi^{6}\) model. Zbl 1152.81508 Khare, Avinash; Saxena, Avadh 4 2008 On some single-hump solutions of the short-pulse equation and their periodic generalizations. Zbl 1248.35198 Shen, Y.; Williams, F.; Whitaker, N.; Kevrekidis, P. G.; Saxena, A.; Frantzeskakis, D. J. 4 2010 Domain wall and periodic solutions of coupled asymmetric double well models. Zbl 1137.82323 Khare, Avinash; Saxena, Avadh 4 2007 Dynamic and static excitations of a classical discrete anisotropic Heisenberg ferromagnetic spin chain. Zbl 1143.35379 Lakshmanan, M.; Saxena, Avadh 4 2008 Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations. Zbl 1391.34027 Khare, Avinash; Saxena, Avadh 4 2018 Torus in a magnetic field: curvature-induced surface states. Zbl 1236.81080 Atanasov, Victor; Dandoloff, Rossen; Saxena, Avadh 3 2012 Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl-Teller external potential. Zbl 1390.35320 Dawson, John F.; Cooper, Fred; Khare, Avinash; Mihaila, Bogdan; Arévalo, Edward; Lan, Ruomeng; Comech, Andrew; Saxena, Avadh 3 2017 Bogomol’nyi decomposition for vesicles of arbitrary genus. Zbl 1022.70015 Benoit, Jérôme; Saxena, Avadh; Lookman, Turab 3 2001 Nonlinear Dirac equation solitary waves under a spinor force with different components. Zbl 1364.81114 Mertens, Franz G.; Cooper, Fred; Shao, Sihong; Quintero, Niurka R.; Saxena, Avadh; Bishop, A. R. 3 2017 Solitary waves in a discrete nonlinear Dirac equation. Zbl 1309.35101 Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh 3 2015 Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations. Zbl 1509.35278 Khare, Avinash; Saxena, Avadh 3 2022 Exact static solutions of a generalized discrete \(\phi^{4}\) model including short-periodic solutions. Zbl 1161.81020 Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh 2 2009 Asymptotic calculation of discrete non-linear wave interactions. Zbl 1116.65102 Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena, I.; Bishop, A. R. 2 2007 Heisenberg spins on a bilayer connected by a neck and other geometries with a characteristic length scale. Zbl 1208.82079 Dandoloff, Rossen; Saxena, Avadh 2 2011 Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042 Khare, Avinash; Cooper, Fred; Saxena, Avadh 2 2017 A minimal nonlinearity logarithmic potential: kinks with super-exponential profiles. Zbl 1462.81131 Kumar, Pradeep; Khare, Avinash; Saxena, Avadh 2 2021 Heisenberg spins on an infinite cylinder: A geometrical effect of anisotropy. Zbl 0941.82511 Villain-Guillot, Simon; Dandoloff, Rossen; Saxena, Avadh 2 1994 Generalized dimers and their Stokes-variable dynamics. Zbl 1318.34068 Xu, H.; Kevrekidis, P. G.; Saxena, A. 2 2015 Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, \(\mathcal{PT}\)- and supersymmetric potential. Zbl 1519.81179 Charalampidis, Efstathios G.; Dawson, John F.; Cooper, Fred; Khare, Avinash; Saxena, Avadh 2 2020 Staggered and short-period solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1170.35092 Khare, Avinash; Rasmussen, Kim Ø; Samuelsen, Mogens R.; Saxena, Avadh 1 2009 Higher order periodic solutions of coupled \(\phi^{4}\) and \(\phi^{6}\) models. Zbl 1176.81075 Khare, Avinash; Saxena, Avadh 1 2009 Statistical mechanics of kinks for quasi-exactly-solvable potentials. Zbl 1194.82059 Saxena, Avadh; Habib, Salman 1 1997 Exact solutions of a two-dimensional cubic-quintic discrete nonlinear Schrödinger equation. Zbl 1264.35218 Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh 1 2011 Kinetics of phase separation on curved manifolds: soft matter. Zbl 1194.74205 Saxena, A.; Lookman, T. 1 1999 Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic-quintic NLS equation. Zbl 1184.35292 Khare, Avinash; Saxena, Avadh; Law, Kody J. H. 1 2009 \(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators. Zbl 1329.81200 Cuevas-Maraver, Jesús; Khare, Avinash; Kevrekidis, Panayotis G.; Xu, Haitao; Saxena, Avadh 1 2015 (0, 1, 2, 4)interpolation by \(G\)-splines. Zbl 0736.41018 Saxena, A. 1 1990 Modeling solid-solid phase transformations: from single crystal to polycrystal behavior. Zbl 1213.74055 Albers, R. C.; Ahluwalia, R.; Lookman, T.; Saxena, A. 1 2004 Geometric phase for non-Hermitian Hamiltonian evolution as anholonomy of a parallel transport along a curve. Zbl 1192.81178 Sinitsyn, N. A.; Saxena, Avadh 1 2008 Scattering of a solitary pulse on a local defect or breather. Zbl 1115.81335 Kevrekidis, Panayotis G.; Malomed, Boris A.; Nistazakis, H. E.; Frantzeskakis, Dimitri J.; Saxena, A.; Bishop, A. R. 1 2002 Domain wall junctions as vortices: static structure. Zbl 1064.82026 Büttner, H.; Gaididei, Yu. B.; Saxena, Avadh; Lookman, Turab; Bishop, A. R. 1 2004 Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum. Zbl 1380.81103 Cuevas-Maraver, J.; Kevrekidis, P. G.; Aceves, A. B.; Saxena, Avadh 1 2017 Soliton lattice and single soliton solutions of the associated Lamé and Lamé potentials. Zbl 1071.35110 Bena, Ioana; Khare, Avinash; Saxena, Avadh 1 2004 Magnetoelectric effect induced by electron-electron interaction in three dimensional topological insulators. Zbl 1317.81160 Schmeltzer, D.; Saxena, Avadh 1 2013 Lacunary interpolation modified (0,1,4) case. Zbl 0758.41008 Varma, A. K.; Saxena, A.; Saxena, R. B. 1 1992 New static solutions of symmetric \(\phi^4\) equation. Zbl 1528.81130 Khare, Avinash; Banerjee, Saikat; Saxena, Avadh 1 2023 Exact hopfion vortices in a 3D Heisenberg ferromagnet. Zbl 1538.82064 Balakrishnan, Radha; Dandoloff, Rossen; Saxena, Avadh 1 2023 Superposed periodic kink and pulse solutions of coupled nonlinear equations. Zbl 1527.35382 Khare, Avinash; Banerjee, Saikat; Saxena, Avadh 1 2023 Wide class of logarithmic potentials with power-tower kink tails. Zbl 1519.37089 Khare, Avinash; Saxena, Avadh 1 2020 Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd-\(\mathcal{PT}\) symmetry. Zbl 1519.35285 Charalampidis, Efstathios G.; Cooper, Fred; Dawson, John F.; Khare, Avinash; Saxena, Avadh 1 2021 Modeling of noise-assisted quantum transfer between donor and acceptor with finite bandwidths. Zbl 1509.81052 Nesterov, Alexander I.; Berman, Gennady P.; Merkli, Marco; Saxena, Avadh 1 2019 Coupled superposed solutions in nonlinear nonlocal equations. Zbl 1507.35257 Khare, Avinash; Saxena, Avadh 1 2023 Time operators and time crystals: self-adjointness by topology change. Zbl 1511.81082 Nakatsugawa, K.; Fujii, T.; Saxena, A.; Tanda, S. 1 2020 Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity. Zbl 1514.81113 Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Sánchez-Rey, Bernardo; Mertens, Franz G.; Saxena, Avadh 1 2020 Spin dynamics and Dirac nodes in a Kagome lattice. Zbl 1546.81082 Boyko, Daniel; Saxena, Avadh; Haraldsen, Jason T. 1 2020 Stability of trapped solutions of a nonlinear Schrödinger equation with a nonlocal nonlinear self-interaction potential. Zbl 1499.35550 Charalampidis, Efstathios G.; Cooper, Fred; Khare, Avinash; Dawson, John F.; Saxena, Avadh 1 2022 New static solutions of symmetric \(\phi^4\) equation. Zbl 1528.81130 Khare, Avinash; Banerjee, Saikat; Saxena, Avadh 1 2023 Exact hopfion vortices in a 3D Heisenberg ferromagnet. Zbl 1538.82064 Balakrishnan, Radha; Dandoloff, Rossen; Saxena, Avadh 1 2023 Superposed periodic kink and pulse solutions of coupled nonlinear equations. Zbl 1527.35382 Khare, Avinash; Banerjee, Saikat; Saxena, Avadh 1 2023 Coupled superposed solutions in nonlinear nonlocal equations. Zbl 1507.35257 Khare, Avinash; Saxena, Avadh 1 2023 Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations. Zbl 1509.35278 Khare, Avinash; Saxena, Avadh 3 2022 Stability of trapped solutions of a nonlinear Schrödinger equation with a nonlocal nonlinear self-interaction potential. Zbl 1499.35550 Charalampidis, Efstathios G.; Cooper, Fred; Khare, Avinash; Dawson, John F.; Saxena, Avadh 1 2022 Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073 Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh 21 2021 A minimal nonlinearity logarithmic potential: kinks with super-exponential profiles. Zbl 1462.81131 Kumar, Pradeep; Khare, Avinash; Saxena, Avadh 2 2021 Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd-\(\mathcal{PT}\) symmetry. Zbl 1519.35285 Charalampidis, Efstathios G.; Cooper, Fred; Dawson, John F.; Khare, Avinash; Saxena, Avadh 1 2021 Emerging frontiers in nonlinear science. Zbl 1435.00056 13 2020 Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, \(\mathcal{PT}\)- and supersymmetric potential. Zbl 1519.81179 Charalampidis, Efstathios G.; Dawson, John F.; Cooper, Fred; Khare, Avinash; Saxena, Avadh 2 2020 Wide class of logarithmic potentials with power-tower kink tails. Zbl 1519.37089 Khare, Avinash; Saxena, Avadh 1 2020 Time operators and time crystals: self-adjointness by topology change. Zbl 1511.81082 Nakatsugawa, K.; Fujii, T.; Saxena, A.; Tanda, S. 1 2020 Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity. Zbl 1514.81113 Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Sánchez-Rey, Bernardo; Mertens, Franz G.; Saxena, Avadh 1 2020 Spin dynamics and Dirac nodes in a Kagome lattice. Zbl 1546.81082 Boyko, Daniel; Saxena, Avadh; Haraldsen, Jason T. 1 2020 Spinor solitons and their \(\mathcal{PT}\)-symmetric offspring. Zbl 1411.81114 Alexeeva, Nora V.; Barashenkov, Igor V.; Saxena, A. 12 2019 Family of potentials with power law kink tails. Zbl 1504.82024 Khare, Avinash; Saxena, Avadh 12 2019 Modeling of noise-assisted quantum transfer between donor and acceptor with finite bandwidths. Zbl 1509.81052 Nesterov, Alexander I.; Berman, Gennady P.; Merkli, Marco; Saxena, Avadh 1 2019 Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations. Zbl 1391.34027 Khare, Avinash; Saxena, Avadh 4 2018 Complete integrability of nonlocal nonlinear Schrödinger equation. Zbl 1364.37147 Gerdjikov, V. S.; Saxena, A. 72 2017 Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes. Zbl 1383.81128 Demirkaya, A.; Decker, R.; Kevrekidis, P. G.; Christov, I. C.; Saxena, A. 15 2017 Integrable oscillator type and Schrödinger type dimers. Zbl 1357.81112 Khare, Avinash; Saxena, Avadh 7 2017 Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry. Zbl 1384.35118 Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh 5 2017 Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry. Zbl 1357.35259 Cooper, Fred; Khare, Avinash; Comech, Andrew; Mihaila, Bogdan; Dawson, John F.; Saxena, Avadh 5 2017 Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl-Teller external potential. Zbl 1390.35320 Dawson, John F.; Cooper, Fred; Khare, Avinash; Mihaila, Bogdan; Arévalo, Edward; Lan, Ruomeng; Comech, Andrew; Saxena, Avadh 3 2017 Nonlinear Dirac equation solitary waves under a spinor force with different components. Zbl 1364.81114 Mertens, Franz G.; Cooper, Fred; Shao, Sihong; Quintero, Niurka R.; Saxena, Avadh; Bishop, A. R. 3 2017 Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042 Khare, Avinash; Cooper, Fred; Saxena, Avadh 2 2017 Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum. Zbl 1380.81103 Cuevas-Maraver, J.; Kevrekidis, P. G.; Aceves, A. B.; Saxena, Avadh 1 2017 Novel PT-invariant solutions for a large number of real nonlinear equations. Zbl 1364.81175 Khare, Avinash; Saxena, Avadh 9 2016 Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734 Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Shao, Sihong; Khare, Avinash; Saxena, Avadh 8 2016 Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations. Zbl 1320.35146 Khare, Avinash; Saxena, Avadh 74 2015 Solitary waves in a discrete nonlinear Dirac equation. Zbl 1309.35101 Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh 3 2015 Generalized dimers and their Stokes-variable dynamics. Zbl 1318.34068 Xu, H.; Kevrekidis, P. G.; Saxena, A. 2 2015 \(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators. Zbl 1329.81200 Cuevas-Maraver, Jesús; Khare, Avinash; Kevrekidis, Panayotis G.; Xu, Haitao; Saxena, Avadh 1 2015 Superposition of elliptic functions as solutions for a large number of nonlinear equations. Zbl 1288.35153 Khare, Avinash; Saxena, Avadh 20 2014 Intrinsic localized modes of a classical discrete anisotropic Heisenberg ferromagnetic spin chain. Zbl 1331.82068 Lakshmanan, M.; Subash, B.; Saxena, Avadh 5 2014 Linear superposition for a class of nonlinear equations. Zbl 1301.35152 Khare, Avinash; Saxena, Avadh 14 2013 Magnetoelectric effect induced by electron-electron interaction in three dimensional topological insulators. Zbl 1317.81160 Schmeltzer, D.; Saxena, Avadh 1 2013 Torus in a magnetic field: curvature-induced surface states. Zbl 1236.81080 Atanasov, Victor; Dandoloff, Rossen; Saxena, Avadh 3 2012 Heisenberg spins on a bilayer connected by a neck and other geometries with a characteristic length scale. Zbl 1208.82079 Dandoloff, Rossen; Saxena, Avadh 2 2011 Exact solutions of a two-dimensional cubic-quintic discrete nonlinear Schrödinger equation. Zbl 1264.35218 Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh 1 2011 Fully nonlinear periodic internal waves in a two-fluid system of finite depth. Zbl 1193.76032 Camassa, R.; Rusås, P.-O.; Saxena, A.; Tiron, R. 6 2010 On some single-hump solutions of the short-pulse equation and their periodic generalizations. Zbl 1248.35198 Shen, Y.; Williams, F.; Whitaker, N.; Kevrekidis, P. G.; Saxena, A.; Frantzeskakis, D. J. 4 2010 Exact static solutions of a generalized discrete \(\phi^{4}\) model including short-periodic solutions. Zbl 1161.81020 Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh 2 2009 Staggered and short-period solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1170.35092 Khare, Avinash; Rasmussen, Kim Ø; Samuelsen, Mogens R.; Saxena, Avadh 1 2009 Higher order periodic solutions of coupled \(\phi^{4}\) and \(\phi^{6}\) models. Zbl 1176.81075 Khare, Avinash; Saxena, Avadh 1 2009 Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic-quintic NLS equation. Zbl 1184.35292 Khare, Avinash; Saxena, Avadh; Law, Kody J. H. 1 2009 Domain wall and periodic solutions of a coupled \(\phi^{6}\) model. Zbl 1152.81508 Khare, Avinash; Saxena, Avadh 4 2008 Dynamic and static excitations of a classical discrete anisotropic Heisenberg ferromagnetic spin chain. Zbl 1143.35379 Lakshmanan, M.; Saxena, Avadh 4 2008 Geometric phase for non-Hermitian Hamiltonian evolution as anholonomy of a parallel transport along a curve. Zbl 1192.81178 Sinitsyn, N. A.; Saxena, Avadh 1 2008 Exact static solutions to a translationally invariant discrete \(\phi^{4}\) model. Zbl 1113.81094 Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh 9 2007 Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. Zbl 1129.35457 Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh 4 2007 Domain wall and periodic solutions of coupled asymmetric double well models. Zbl 1137.82323 Khare, Avinash; Saxena, Avadh 4 2007 Asymptotic calculation of discrete non-linear wave interactions. Zbl 1116.65102 Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena, I.; Bishop, A. R. 2 2007 Domain wall and periodic solutions of coupled \(\phi^{4}\) models in an external field. Zbl 1112.81030 Khare, Avinash; Saxena, Avadh 10 2006 Exact solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1069.81016 Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh 31 2005 On some classes of mKdV periodic solutions. Zbl 1084.35073 Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G. 19 2004 Modeling solid-solid phase transformations: from single crystal to polycrystal behavior. Zbl 1213.74055 Albers, R. C.; Ahluwalia, R.; Lookman, T.; Saxena, A. 1 2004 Domain wall junctions as vortices: static structure. Zbl 1064.82026 Büttner, H.; Gaididei, Yu. B.; Saxena, Avadh; Lookman, Turab; Bishop, A. R. 1 2004 Soliton lattice and single soliton solutions of the associated Lamé and Lamé potentials. Zbl 1071.35110 Bena, Ioana; Khare, Avinash; Saxena, Avadh 1 2004 Energy minimization using Sobolev gradients: application to phase separation and ordering. Zbl 1097.49002 Sial, S.; Neuberger, J.; Lookman, T.; Saxena, A. 21 2003 Higher-order lattice diffraction: solitons in the discrete NLS equation with next-nearest-neighbor interactions. Zbl 1057.82007 Kevrekidis, P. G.; Malomed, B. A.; Saxena, A.; Bishop, A. R.; Frantzeskakis, D. J. 7 2003 Scattering of a solitary pulse on a local defect or breather. Zbl 1115.81335 Kevrekidis, Panayotis G.; Malomed, Boris A.; Nistazakis, H. E.; Frantzeskakis, Dimitri J.; Saxena, A.; Bishop, A. R. 1 2002 Bogomol’nyi decomposition for vesicles of arbitrary genus. Zbl 1022.70015 Benoit, Jérôme; Saxena, Avadh; Lookman, Turab 3 2001 Half-kink lattice solution of the \(\phi^6\) model. Zbl 1026.82515 Sanati, M.; Saxena, A. 6 1999 Kinetics of phase separation on curved manifolds: soft matter. Zbl 1194.74205 Saxena, A.; Lookman, T. 1 1999 Statistical mechanics of double sinh-Gordon kinks. Zbl 0958.82037 Habib, Salman; Khare, Avinash; Saxena, Avadh 11 1998 Exact thermodynamics of the double sinh-Gordon theory in \(1+1\) dimensions. Zbl 0946.81047 Khare, Avinash; Habib, Salman; Saxena, Avadh 15 1997 Statistical mechanics of kinks for quasi-exactly-solvable potentials. Zbl 1194.82059 Saxena, Avadh; Habib, Salman 1 1997 Heisenberg spins on an infinite cylinder: A geometrical effect of anisotropy. Zbl 0941.82511 Villain-Guillot, Simon; Dandoloff, Rossen; Saxena, Avadh 2 1994 Lacunary interpolation modified (0,1,4) case. Zbl 0758.41008 Varma, A. K.; Saxena, A.; Saxena, R. B. 1 1992 (0, 1, 2, 4)interpolation by \(G\)-splines. Zbl 0736.41018 Saxena, A. 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 474 Authors 34 Khare, Avinash 33 Saxena, Avadh Behari 11 Pekcan, Asli 10 Gürses, Metin 10 Quintero, Niurka R. 10 Sial, Sultan 9 Cooper, Fred 9 Dmitriev, Sergey V. 9 Kevrekidis, Panayotis G. 9 Raza, Nauman 8 Campos, João G. F. 8 Mertens, Franz G. 7 Mohammadi, Azadeh 6 Bazeia, Dionisio 6 Gani, Vakhid A. 6 Lakshmanan, Muthusamy 6 Simas, Fabiano C. 5 Dawson, John F. 5 Malomed, Boris A. 5 Sánchez-Rey, Bernardo 5 Sinha, Debdeep 5 Xu, Tao 5 Yang, Bo 4 Alejo, Miguel A. 4 Chen, Yong 4 Fring, Andreas 4 He, Jingsong 4 Lou, Senyue 4 Moradi Marjaneh, Aliakbar 4 Pelinovsky, Dmitry Efimovich 4 Senthilvelan, Murugaian 4 Siddiqi, Shahid Saeed 3 Alonso Izquierdo, A. Alonso 3 Butt, Asma Rashid 3 Carretero-González, Ricardo 3 Cen, Julia 3 Charalampidis, Efstathios G. 3 Cheng, Yi 3 Dikandé, Alain Moïse 3 Frantzeskakis, Dimitri J. 3 Gomes, Adalto R. 3 Hao, Xiazhi 3 Kanna, Thambithurai 3 Li, Min 3 Lin, Genghong 3 Mihalache, Dumitru 3 Neuberger, John W. 3 Nobrega, K. Z. 3 Pankov, Alexander A. 3 Rao, Jiguang 3 Romańczukiewicz, Tomasz 3 Roy, Puspendu 3 Saadatmand, Danial 3 Shao, Sihong 3 Stalin, Seenimuthu 3 Tamilselvan, K. 3 Tavakoli, Rouhollah 3 Wang, Xiubin 3 Yan, Zhenya 3 Yang, Jianke 3 Zhou, Zhan 3 Zhou, Zixiang 3 Zhu, Zuonong 2 Abraham-Shrauner, Barbara 2 Álvarez-Nodarse, Renato 2 An, Licong 2 Arévalo, Edward 2 Banerjee, Saikat 2 Basu-Mallick, Bireswar 2 Bebikhov, Yuri V. 2 Blinov, Petr A. 2 Chen, Jinbing 2 Chen, Yang 2 Chong, Christopher 2 Chow, Kwok Wing 2 Conte, Robert Maurice 2 Cuevas Maraver, Jesús 2 Dandoloff, Rossen 2 Das, Prakash Kumar 2 Decker, Robert J. 2 Dorey, Patrick E. 2 Feng, Baofeng 2 Gani, Tatiana V. 2 Ghosh, Pijush Kanti 2 Gopi, D. 2 Gorina, Anastasia 2 Habib, Salman 2 Javid, Ahmad 2 Karachalios, Nikos I. 2 Karczewska, Anna 2 Kavitha, Louis 2 Lakoba, Taras I. 2 Lan, Sha 2 Li, Jibin 2 Li, Xiliang 2 Liu, Wei 2 Liu, Xi-Zhong 2 Liu, Yuxiao 2 Ma, LiYuan 2 Majid, Abdul ...and 374 more Authors all top 5 Cited in 81 Serials 31 Physics Letters. A 30 Journal of Physics A: Mathematical and Theoretical 24 Communications in Nonlinear Science and Numerical Simulation 16 Journal of Mathematical Physics 16 Journal of High Energy Physics 14 Journal of Computational Physics 14 Physica D 12 Applied Mathematics Letters 9 Mathematical Methods in the Applied Sciences 9 Nonlinear Dynamics 9 Chaos 7 Annals of Physics 6 International Journal of Theoretical Physics 6 Chaos, Solitons and Fractals 5 Physics Letters. B 5 Applied Mathematics and Computation 5 Studies in Applied Mathematics 4 Nonlinearity 3 Modern Physics Letters A 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Wave Motion 2 International Journal of Modern Physics B 2 Nuclear Physics. B 2 Physica A 2 Physics Reports 2 Theoretical and Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 International Journal of Computer Mathematics 2 SIAM Review 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Nonlinear Mathematical Physics 2 International Journal of Geometric Methods in Modern Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 The Mathematical Intelligencer 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Filomat 1 Advances in Computational Mathematics 1 Complexity 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Russian Physics Journal 1 Qualitative Theory of Dynamical Systems 1 Czechoslovak Journal of Physics 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Cosmology and Astroparticle Physics 1 Journal of Function Spaces and Applications 1 International Journal of Computational Methods 1 Journal of Hyperbolic Differential Equations 1 Proyecciones 1 Optimization Letters 1 Chinese Journal of Physics (Taipei) 1 Advances in High Energy Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Annalen der Physik 1 ISRN High Energy Physics 1 Journal of Function Spaces 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 37 Fields 210 Partial differential equations (35-XX) 89 Quantum theory (81-XX) 84 Dynamical systems and ergodic theory (37-XX) 38 Statistical mechanics, structure of matter (82-XX) 26 Numerical analysis (65-XX) 22 Optics, electromagnetic theory (78-XX) 17 Ordinary differential equations (34-XX) 17 Difference and functional equations (39-XX) 16 Special functions (33-XX) 15 Fluid mechanics (76-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of particles and systems (70-XX) 6 Relativity and gravitational theory (83-XX) 5 Combinatorics (05-XX) 5 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 4 Algebraic geometry (14-XX) 4 Differential geometry (53-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 Topological groups, Lie groups (22-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year