Edit Profile (opens in new tab) Khare, Avinash Compute Distance To: Compute Author ID: khare.avinash Published as: Khare, Avinash; Khare, A.; Hare, A. Documents Indexed: 122 Publications since 1957, including 3 Books Co-Authors: 75 Co-Authors with 104 Joint Publications 1,092 Co-Co-Authors all top 5 Co-Authors 14 single-authored 33 Saxena, Avadh Behari 18 Sukhatme, Uday P. 15 Mandal, Bhabani Prasad 11 Yadav, Rajesh Kumar 9 Cooper, Fred 8 Kumari, Nisha 7 Dmitriev, Sergey V. 4 Bagchi, Bijan Kumar 4 Bhaduri, Rajat K. 4 Dawson, John F. 4 Gangopadhyaya, Asim 4 Jain, Sudhir Ranjan 4 Kevrekidis, Panayotis G. 4 Rasmussen, Kim Ø. 4 Samuelsen, Mogens R. 3 Bena, Ioana 3 Kanna, Thambithurai 3 Mihaila, Bogdan 3 Rasinariu, Constantin 3 Richard, Jean-Marc 3 Tamilselvan, K. 2 Arévalo, Edward 2 Auberson, Guy 2 Bebikhov, Yuri V. 2 Combescure, Monique 2 Comech, Andrew 2 Dey, Bishwajyoti 2 Dutt, Ranabir 2 Dutta-Roy, Binayak 2 Habib, Salman 2 Harikumar, E. 2 Kapoor, A. K. 2 Kumar, C. Nagaraja 2 Mertens, Franz G. 2 Panigrahi, Prasanta K. 2 Quintero, Niurka R. 2 Ranjani, S. Sree 2 Suchkov, Sergey V. 1 Baimova, J. A. 1 Banerjee, Suman 1 Bhaumik, Debajyoti 1 Bishop, Alan Reginald 1 Cowling, Thomas George 1 Cuevas Maraver, Jesús 1 Fayard, C. 1 Ghosh, Pijush Kanti 1 Herring, G. J. 1 Jatkar, Dileep P. 1 Kumar, M. Sanjay 1 Kumar, Pradeep 1 Lakshminarayan, Arul 1 Lan, Ruomeng 1 Law, Kody J. H. 1 Loris, Ignace 1 Malik, Rudra Prakash 1 Murthy, M. V. N. 1 Musto, Renato 1 Narayan Deb, Ram 1 Potekaev, A. I. 1 Raina, Ashok K. 1 Rajasekaran, G. 1 Ramos, Arturo 1 Ray, Koushik 1 Rebaza, Jorge 1 Reimann, S. M. 1 Seidl, Michael 1 Sen, Diptiman 1 Shao, Sihong 1 Sunil Kumar, V. 1 Tomusiak, E. L. 1 Tripathy, Prasanta K. 1 Tummuru, Tarun R. 1 Varshni, Yatendra Pal 1 Weydert, Carole 1 Wipf, Andreas W. 1 Xu, Haitao all top 5 Serials 24 Physics Letters. A 20 Journal of Mathematical Physics 19 Journal of Physics A: Mathematical and General 18 Journal of Physics A: Mathematical and Theoretical 11 Annals of Physics 4 Physics Letters. B 3 International Journal of Modern Physics B 2 Modern Physics Letters A 2 International Journal of Modern Physics A 2 Physica Scripta 1 International Journal of Theoretical Physics 1 Nuclear Physics. B 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Journal of the Operational Research Society 1 Mathematics and Computers in Simulation 1 Quaestiones Mathematicae 1 Physica D 1 Communications in Nonlinear Science and Numerical Simulation 1 Russian Physics Journal 1 Physical Review Letters 1 The Philosophical Magazine, VIII. Series all top 5 Fields 93 Quantum theory (81-XX) 38 Partial differential equations (35-XX) 25 Statistical mechanics, structure of matter (82-XX) 16 Special functions (33-XX) 15 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Nonassociative rings and algebras (17-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 639 times in 517 Documents Cited by ▼ Year ▼ Supersymmetry in quantum mechanics. Zbl 0988.81001Cooper, Fred; Khare, Avinash; Sukhatme, Uday 145 2001 Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations. Zbl 1320.35146Khare, Avinash; Saxena, Avadh 34 2015 A PT-invariant potential with complex QES eigenvalues. Zbl 1115.81395Khare, Avinash; Mandal, Bhabani Prasad 31 2000 Fractional statistics and quantum theory. 2nd ed. Zbl 1085.81002Khare, Avinash 23 2005 Two-dimensional problems of the decay of magnetic fields in magnetohydrodynamics. Zbl 0081.21901Cowling, T. G.; Hare, A. 20 1957 Exact solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1069.81016Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh 18 2005 Negaton and positon solutions of the KdV and mKdV hierarchy. Zbl 0914.35119Rasinariu, C.; Sukhatme, U.; Khare, Avinash 18 1996 Fractional statistics and quantum theory. Zbl 1038.81556Khare, Avinash 17 1997 New solvable and quasiexactly solvable periodic potentials. Zbl 0968.81019Khare, Avinash; Sukhatme, Uday 16 1999 New class of conditionally exactly solvable potentials in quantum mechanics. Zbl 0851.34080Dutt, R.; Khare, Avinash; Varshni, Y. P. 14 1995 New shape-invariant potentials in supersymmetric quantum mechanics. Zbl 0812.58097Khare, A.; Sukhatme, U. P. 13 1993 Parasupersymmetric quantum mechanics of arbitrary order. Zbl 0764.17003Khare, Avinash 12 1992 Supersymmetry and the Dirac equation. Zbl 0651.58009Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A. 12 1988 On some classes of mKdV periodic solutions. Zbl 1084.35073Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G. 11 2004 Stationary solitons of the fifth order KdV-type. Equations and their stabilization. Zbl 1037.35502Dey, B.; Khare, Avinash; Kumar, C. Nagaraja 11 1996 Parasupersymmetry in quantum mechanics. Zbl 0822.58061Khare, Avinash 10 1993 Superposition of elliptic functions as solutions for a large number of nonlinear equations. Zbl 1288.35153Khare, Avinash; Saxena, Avadh 8 2014 Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition. Zbl 1235.81081Ranjani, S. Sree; Panigrahi, P. K.; Khare, A.; Kapoor, A. K.; Gangopadhyaya, A. 8 2012 Linear superposition for a class of nonlinear equations. Zbl 1301.35152Khare, Avinash; Saxena, Avadh 8 2013 Exact static solutions to a translationally invariant discrete \(\phi^{4}\) model. Zbl 1113.81094Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh 7 2007 Analytically solvable PT-invariant periodic potentials. Zbl 1123.81420Khare, Avinash; Sukhatme, Uday 7 2004 Complex optical potentials and pseudo-Hermitian Hamiltonians. Zbl 1006.81095Narayan Deb, Ram; Khare, Avinash; Dutta Roy, Binayak 7 2003 Some exact results for mid-band and zero band-gap states of associated Lamé potentials. Zbl 1019.81013Khare, Avinash; Sukhatme, Uday 7 2001 Domain wall and periodic solutions of coupled \(\phi^{4}\) models in an external field. Zbl 1112.81030Khare, Avinash; Saxena, Avadh 6 2006 Supersymmetric quantum mechanics on non-commutative plane. Zbl 1246.81062Harikumar, E.; Sunil Kumar, V.; Khare, Avinash 6 2004 Do quasi-exactly solvable systems always correspond to orthogonal polynomials? Zbl 1044.81549Khare, Avinash; Mandal, Bhabani Prasad 6 1998 Cyclic shape invariant potentials. Zbl 1044.81580Sukhatme, Uday P.; Rasinariu, Constantin; Khare, Avinash 6 1997 Exact thermodynamics of the double sinh-Gordon theory in \(1+1\) dimensions. Zbl 0946.81047Khare, Avinash; Habib, Salman; Saxena, Avadh 6 1997 Exact solution of an \(N\)-body problem in one dimension. Zbl 0916.58015Khare, Avinash 6 1996 The scattering amplitude for rationally extended shape invariant Eckart potentials. Zbl 1304.81145Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad 6 2015 Periodic potentials and supersymmetry. Zbl 1064.81054Khare, Avinash; Sukhatme, Uday 5 2004 Coherent states for isospectral Hamiltonians. Zbl 0972.81566Kumar, M. Sanjay; Khare, Avinash 5 1996 A quantum many-body problem in two dimensions: ground state. Zbl 1052.81693Khare, Avinash; Ray, Koushik 5 1997 Stability of compacton solutions of fifth-order nonlinear dispersive equations. Zbl 0961.35140Dey, Bishwajyoti; Khare, Avinash 5 2000 The scattering amplitude for a newly found exactly solvable potential. Zbl 1266.81140Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad 4 2013 Statistical mechanics of double sinh-Gordon kinks. Zbl 0958.82037Habib, Salman; Khare, Avinash; Saxena, Avadh 4 1998 Methods for generating quasi-exactly solvable potentials. Zbl 1020.81936Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P. 4 1995 Group theoretic approach to rationally extended shape invariant potentials. Zbl 1343.81083Yadav, Rajesh Kumar; Kumari, Nisha; Khare, Avinash; Mandal, Bhabani Prasad 4 2015 Some algebraically solvable three-body problems in one dimension. Zbl 0843.70008Khare, Avinash; Bhaduri, R. K. 4 1994 The Riemann zeta function and the inverted harmonic oscillator. Zbl 0923.11122Bhaduri, R. K.; Khare, Avinash; Reimann, S. M.; Tomusiak, E. L. 4 1997 Novel correlations in two dimensions: Two-body problem. Zbl 0931.34068Bhaduri, R. K.; Khare, Avinash; Law, J.; Murthy, M. V. N.; Sen, Diptiman 4 1997 Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems. Zbl 1042.81528Khare, Avinash; Mandal, Bhabani Prasad 4 1998 Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Shao, Sihong; Khare, Avinash; Saxena, Avadh 4 2016 Domain wall and periodic solutions of a coupled \(\phi^{6}\) model. Zbl 1152.81508Khare, Avinash; Saxena, Avadh 4 2008 A class of \(N\)-body problems with nearest- and next-to-nearest-neighbour interactions. Zbl 1034.81055Auberson, Guy; Jain, Sudhir R.; Khare, Avinash 4 2001 Domain wall and periodic solutions of coupled asymmetric double well models. Zbl 1137.82323Khare, Avinash; Saxena, Avadh 3 2007 Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. Zbl 1129.35457Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh 3 2007 The scattering amplitude for one parameter family of shape invariant potentials related to \(X_m\) Jacobi polynomials. Zbl 1311.81217Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad 3 2013 Cyclic identities involving Jacobi elliptic functions. Zbl 1060.33026Khare, Avinash; Sukhatme, Uday 3 2002 The effect of viscosity on the stability of incompressible magneto- hydrodynamic systems. Zbl 0090.21402Hare, A. 3 1959 Novel PT-invariant solutions for a large number of real nonlinear equations. Zbl 1364.81175Khare, Avinash; Saxena, Avadh 3 2016 Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098Cooper, Fred; Khare, Avinash; Sukhatme, Uday 3 2002 PT-invariant periodic potentials with a finite number of band gaps. Zbl 1110.81158Khare, Avinash; Sukhatme, Uday 2 2005 Novel symmetries in \(\mathcal N=2\) supersymmetric quantum mechanical models. Zbl 1284.81146Malik, R. P.; Khare, Avinash 2 2013 Cyclic identities for Jacobi elliptic and related functions. Zbl 1062.33020Khare, Avinash; Lakshminarayan, Arul; Sukhatme, Uday 2 2003 A class of exact solutions for \(N\) anyons in an \(N\)-body potential. Zbl 0972.81699Khare, Avinash 2 1996 An exactly solvable many-body problem in one dimension and the short-range Dyson model. Zbl 1059.81651Jain, Sudhir R.; Khare, Avinash 2 1999 A number of quasiexactly solvable \(N\)-body problems. Zbl 0986.81121Khare, Avinash; Mandal, Bhabani Prasad 2 1998 Exact ground state of several \(N\)-body problems with an \(N\)-body potential. Zbl 0956.81013Khare, Avinash 2 1999 Reply to comment ‘Exact solution of an \(N\)-body problem in one dimension’. Zbl 0904.47071Khare, Avinash 2 1996 Parametric symmetries in exactly solvable real and PT symmetric complex potentials. Zbl 1341.81029Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Kumari, Nisha; Mandal, Bhabani Prasad 2 2016 Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties. Zbl 1410.35203Khare, Avinash; Cooper, Fred; Dawson, John F. 2 2018 Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042Khare, Avinash; Cooper, Fred; Saxena, Avadh 2 2017 A systematic construction of parity-time (\(\mathcal{PT}\))-symmetric and non-\(\mathcal{PT}\)-symmetric complex potentials from the solutions of various real nonlinear evolution equations. Zbl 1380.37124Tamilselvan, K.; Kanna, T.; Khare, Avinash 2 2017 Chaos in gauge theories possessing vortices and monopole solutions. Zbl 0693.58047Kumar, C. Nagaraja; Khare, Avinash 2 1989 Parasupersymmetric quantum mechanics and its infinite order limit. Zbl 1015.81507Khare, Avinash; Mishra, A. K.; Rajasekaran, G. 2 1993 Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169Cooper, F.; Khare, A.; Rose, H. 2 2001 A QES band-structure problem in one dimension. Zbl 0971.81196Khare, A. 2 2001 Exact static solutions of a generalized discrete \(\phi^{4}\) model including short-periodic solutions. Zbl 1161.81020Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh 2 2009 Scattering amplitudes for the rationally extended \(PT\) symmetric complex potentials. Zbl 1380.81427Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Mandal, Bhabani Prasad 2 2016 Exact solutions of a two-dimensional cubic-quintic discrete nonlinear Schrödinger equation. Zbl 1264.35218Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh 1 2011 Asymptotic calculation of discrete non-linear wave interactions. Zbl 1116.65102Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena, I.; Bishop, A. R. 1 2007 Periodic potentials and PT symmetry. Zbl 1117.81056Khare, Avinash; Sukhatme, Uday 1 2006 Higher order periodic solutions of coupled \(\phi^{4}\) and \(\phi^{6}\) models. Zbl 1176.81075Khare, 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 1184.35292Khare, Avinash; Saxena, Avadh; Law, Kody J. H. 1 2009 Elliptic waves in two-component long-wave-short-wave resonance interaction system in one and two dimensions. Zbl 1298.35028Khare, Avinash; Kanna, T.; Tamilselvan, K. 1 2014 Relationship between the energy eigenstates of Calogero-Sutherland models with oscillator and Coulomb-like potentials. Zbl 0986.81119Ghosh, Pijush K.; Khare, Avinash 1 1999 The accidental degeneracy problem in nonrelativistic quantum mechanics. Zbl 0525.46046Khare, Avinash 1 1983 A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems. Zbl 1372.81181Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad 1 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 1384.35118Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh 1 2017 \(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators. Zbl 1329.81200Cuevas-Maraver, Jesús; Khare, Avinash; Kevrekidis, Panayotis G.; Xu, Haitao; Saxena, Avadh 1 2015 A Calogero-Sutherland type model for branched polymers. Zbl 1022.81816Jatkar, Dileep P.; Khare, Avinash 1 1996 Born-Infeld-Chern-Simons theory: Hamiltonian embedding, duality and bosonization. Zbl 0991.81063Harikumar, E.; Khare, Avinash; Sivakumar, M.; Tripathy, Prasanta K. 1 2001 Testing Hall-Post inequalities with exactly solvable \(N\)-body problems. Zbl 0989.81151Khare, Avinash; Richard, Jean-Marc 1 2001 Thermodynamics of a free \(q\)-fermion gas. Zbl 1063.82516Dutt, Ranabir; Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P. 1 1994 Translationally invariant kink solutions of discrete \(\varphi^4\) models. Zbl 1205.81110Baimova, J. A.; Bebikhov, Yu. V.; Dmitriev, S. V.; Khare, A.; Potekaev, A. I. 1 2010 Truncated Calogero-Sutherland models on a circle. Zbl 1380.82022Tummuru, Tarun R.; Jain, Sudhir R.; Khare, Avinash 1 2017 Affine Toda-Sutherland systems. Zbl 1053.81041Khare, Avinash; Loris, I.; Sasaki, R. 1 2004 Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations. Zbl 1391.34027Khare, Avinash; Saxena, Avadh 1 2018 Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties. Zbl 1410.35203Khare, Avinash; Cooper, Fred; Dawson, John F. 2 2018 Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations. Zbl 1391.34027Khare, Avinash; Saxena, Avadh 1 2018 Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042Khare, Avinash; Cooper, Fred; Saxena, Avadh 2 2017 A systematic construction of parity-time (\(\mathcal{PT}\))-symmetric and non-\(\mathcal{PT}\)-symmetric complex potentials from the solutions of various real nonlinear evolution equations. Zbl 1380.37124Tamilselvan, K.; Kanna, T.; Khare, Avinash 2 2017 A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems. Zbl 1372.81181Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad 1 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 1384.35118Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh 1 2017 Truncated Calogero-Sutherland models on a circle. Zbl 1380.82022Tummuru, Tarun R.; Jain, Sudhir R.; Khare, Avinash 1 2017 Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Shao, Sihong; Khare, Avinash; Saxena, Avadh 4 2016 Novel PT-invariant solutions for a large number of real nonlinear equations. Zbl 1364.81175Khare, Avinash; Saxena, Avadh 3 2016 Parametric symmetries in exactly solvable real and PT symmetric complex potentials. Zbl 1341.81029Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Kumari, Nisha; Mandal, Bhabani Prasad 2 2016 Scattering amplitudes for the rationally extended \(PT\) symmetric complex potentials. Zbl 1380.81427Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Mandal, Bhabani Prasad 2 2016 Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations. Zbl 1320.35146Khare, Avinash; Saxena, Avadh 34 2015 The scattering amplitude for rationally extended shape invariant Eckart potentials. Zbl 1304.81145Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad 6 2015 Group theoretic approach to rationally extended shape invariant potentials. Zbl 1343.81083Yadav, Rajesh Kumar; Kumari, Nisha; Khare, Avinash; Mandal, Bhabani Prasad 4 2015 \(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators. Zbl 1329.81200Cuevas-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 1288.35153Khare, Avinash; Saxena, Avadh 8 2014 Elliptic waves in two-component long-wave-short-wave resonance interaction system in one and two dimensions. Zbl 1298.35028Khare, Avinash; Kanna, T.; Tamilselvan, K. 1 2014 Linear superposition for a class of nonlinear equations. Zbl 1301.35152Khare, Avinash; Saxena, Avadh 8 2013 The scattering amplitude for a newly found exactly solvable potential. Zbl 1266.81140Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad 4 2013 The scattering amplitude for one parameter family of shape invariant potentials related to \(X_m\) Jacobi polynomials. Zbl 1311.81217Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad 3 2013 Novel symmetries in \(\mathcal N=2\) supersymmetric quantum mechanical models. Zbl 1284.81146Malik, R. P.; Khare, Avinash 2 2013 Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition. Zbl 1235.81081Ranjani, S. Sree; Panigrahi, P. K.; Khare, A.; Kapoor, A. K.; Gangopadhyaya, A. 8 2012 Exact solutions of a two-dimensional cubic-quintic discrete nonlinear Schrödinger equation. Zbl 1264.35218Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh 1 2011 Translationally invariant kink solutions of discrete \(\varphi^4\) models. Zbl 1205.81110Baimova, J. A.; Bebikhov, Yu. V.; Dmitriev, S. V.; Khare, A.; Potekaev, A. I. 1 2010 Exact static solutions of a generalized discrete \(\phi^{4}\) model including short-periodic solutions. Zbl 1161.81020Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh 2 2009 Higher order periodic solutions of coupled \(\phi^{4}\) and \(\phi^{6}\) models. Zbl 1176.81075Khare, 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 1184.35292Khare, Avinash; Saxena, Avadh; Law, Kody J. H. 1 2009 Domain wall and periodic solutions of a coupled \(\phi^{6}\) model. Zbl 1152.81508Khare, Avinash; Saxena, Avadh 4 2008 Exact static solutions to a translationally invariant discrete \(\phi^{4}\) model. Zbl 1113.81094Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh 7 2007 Domain wall and periodic solutions of coupled asymmetric double well models. Zbl 1137.82323Khare, Avinash; Saxena, Avadh 3 2007 Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. Zbl 1129.35457Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh 3 2007 Asymptotic calculation of discrete non-linear wave interactions. Zbl 1116.65102Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena, I.; Bishop, A. R. 1 2007 Domain wall and periodic solutions of coupled \(\phi^{4}\) models in an external field. Zbl 1112.81030Khare, Avinash; Saxena, Avadh 6 2006 Periodic potentials and PT symmetry. Zbl 1117.81056Khare, Avinash; Sukhatme, Uday 1 2006 Fractional statistics and quantum theory. 2nd ed. Zbl 1085.81002Khare, Avinash 23 2005 Exact solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1069.81016Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh 18 2005 PT-invariant periodic potentials with a finite number of band gaps. Zbl 1110.81158Khare, Avinash; Sukhatme, Uday 2 2005 On some classes of mKdV periodic solutions. Zbl 1084.35073Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G. 11 2004 Analytically solvable PT-invariant periodic potentials. Zbl 1123.81420Khare, Avinash; Sukhatme, Uday 7 2004 Supersymmetric quantum mechanics on non-commutative plane. Zbl 1246.81062Harikumar, E.; Sunil Kumar, V.; Khare, Avinash 6 2004 Periodic potentials and supersymmetry. Zbl 1064.81054Khare, Avinash; Sukhatme, Uday 5 2004 Affine Toda-Sutherland systems. Zbl 1053.81041Khare, Avinash; Loris, I.; Sasaki, R. 1 2004 Complex optical potentials and pseudo-Hermitian Hamiltonians. Zbl 1006.81095Narayan Deb, Ram; Khare, Avinash; Dutta Roy, Binayak 7 2003 Cyclic identities for Jacobi elliptic and related functions. Zbl 1062.33020Khare, Avinash; Lakshminarayan, Arul; Sukhatme, Uday 2 2003 Cyclic identities involving Jacobi elliptic functions. Zbl 1060.33026Khare, Avinash; Sukhatme, Uday 3 2002 Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098Cooper, Fred; Khare, Avinash; Sukhatme, Uday 3 2002 Supersymmetry in quantum mechanics. Zbl 0988.81001Cooper, Fred; Khare, Avinash; Sukhatme, Uday 145 2001 Some exact results for mid-band and zero band-gap states of associated Lamé potentials. Zbl 1019.81013Khare, Avinash; Sukhatme, Uday 7 2001 A class of \(N\)-body problems with nearest- and next-to-nearest-neighbour interactions. Zbl 1034.81055Auberson, Guy; Jain, Sudhir R.; Khare, Avinash 4 2001 Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169Cooper, F.; Khare, A.; Rose, H. 2 2001 A QES band-structure problem in one dimension. Zbl 0971.81196Khare, A. 2 2001 Born-Infeld-Chern-Simons theory: Hamiltonian embedding, duality and bosonization. Zbl 0991.81063Harikumar, E.; Khare, Avinash; Sivakumar, M.; Tripathy, Prasanta K. 1 2001 Testing Hall-Post inequalities with exactly solvable \(N\)-body problems. Zbl 0989.81151Khare, Avinash; Richard, Jean-Marc 1 2001 A PT-invariant potential with complex QES eigenvalues. Zbl 1115.81395Khare, Avinash; Mandal, Bhabani Prasad 31 2000 Stability of compacton solutions of fifth-order nonlinear dispersive equations. Zbl 0961.35140Dey, Bishwajyoti; Khare, Avinash 5 2000 New solvable and quasiexactly solvable periodic potentials. Zbl 0968.81019Khare, Avinash; Sukhatme, Uday 16 1999 An exactly solvable many-body problem in one dimension and the short-range Dyson model. Zbl 1059.81651Jain, Sudhir R.; Khare, Avinash 2 1999 Exact ground state of several \(N\)-body problems with an \(N\)-body potential. Zbl 0956.81013Khare, Avinash 2 1999 Relationship between the energy eigenstates of Calogero-Sutherland models with oscillator and Coulomb-like potentials. Zbl 0986.81119Ghosh, Pijush K.; Khare, Avinash 1 1999 Do quasi-exactly solvable systems always correspond to orthogonal polynomials? Zbl 1044.81549Khare, Avinash; Mandal, Bhabani Prasad 6 1998 Statistical mechanics of double sinh-Gordon kinks. Zbl 0958.82037Habib, Salman; Khare, Avinash; Saxena, Avadh 4 1998 Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems. Zbl 1042.81528Khare, Avinash; Mandal, Bhabani Prasad 4 1998 A number of quasiexactly solvable \(N\)-body problems. Zbl 0986.81121Khare, Avinash; Mandal, Bhabani Prasad 2 1998 Fractional statistics and quantum theory. Zbl 1038.81556Khare, Avinash 17 1997 Cyclic shape invariant potentials. Zbl 1044.81580Sukhatme, Uday P.; Rasinariu, Constantin; Khare, Avinash 6 1997 Exact thermodynamics of the double sinh-Gordon theory in \(1+1\) dimensions. Zbl 0946.81047Khare, Avinash; Habib, Salman; Saxena, Avadh 6 1997 A quantum many-body problem in two dimensions: ground state. Zbl 1052.81693Khare, Avinash; Ray, Koushik 5 1997 The Riemann zeta function and the inverted harmonic oscillator. Zbl 0923.11122Bhaduri, R. K.; Khare, Avinash; Reimann, S. M.; Tomusiak, E. L. 4 1997 Novel correlations in two dimensions: Two-body problem. Zbl 0931.34068Bhaduri, R. K.; Khare, Avinash; Law, J.; Murthy, M. V. N.; Sen, Diptiman 4 1997 Negaton and positon solutions of the KdV and mKdV hierarchy. Zbl 0914.35119Rasinariu, C.; Sukhatme, U.; Khare, Avinash 18 1996 Stationary solitons of the fifth order KdV-type. Equations and their stabilization. Zbl 1037.35502Dey, B.; Khare, Avinash; Kumar, C. Nagaraja 11 1996 Exact solution of an \(N\)-body problem in one dimension. Zbl 0916.58015Khare, Avinash 6 1996 Coherent states for isospectral Hamiltonians. Zbl 0972.81566Kumar, M. Sanjay; Khare, Avinash 5 1996 A class of exact solutions for \(N\) anyons in an \(N\)-body potential. Zbl 0972.81699Khare, Avinash 2 1996 Reply to comment ‘Exact solution of an \(N\)-body problem in one dimension’. Zbl 0904.47071Khare, Avinash 2 1996 A Calogero-Sutherland type model for branched polymers. Zbl 1022.81816Jatkar, Dileep P.; Khare, Avinash 1 1996 New class of conditionally exactly solvable potentials in quantum mechanics. Zbl 0851.34080Dutt, R.; Khare, Avinash; Varshni, Y. P. 14 1995 Methods for generating quasi-exactly solvable potentials. Zbl 1020.81936Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P. 4 1995 Some algebraically solvable three-body problems in one dimension. Zbl 0843.70008Khare, Avinash; Bhaduri, R. K. 4 1994 Thermodynamics of a free \(q\)-fermion gas. Zbl 1063.82516Dutt, Ranabir; Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P. 1 1994 New shape-invariant potentials in supersymmetric quantum mechanics. Zbl 0812.58097Khare, A.; Sukhatme, U. P. 13 1993 Parasupersymmetry in quantum mechanics. Zbl 0822.58061Khare, Avinash 10 1993 Parasupersymmetric quantum mechanics and its infinite order limit. Zbl 1015.81507Khare, Avinash; Mishra, A. K.; Rajasekaran, G. 2 1993 Parasupersymmetric quantum mechanics of arbitrary order. Zbl 0764.17003Khare, Avinash 12 1992 Chaos in gauge theories possessing vortices and monopole solutions. Zbl 0693.58047Kumar, C. Nagaraja; Khare, Avinash 2 1989 Supersymmetry and the Dirac equation. Zbl 0651.58009Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A. 12 1988 The accidental degeneracy problem in nonrelativistic quantum mechanics. Zbl 0525.46046Khare, Avinash 1 1983 The effect of viscosity on the stability of incompressible magneto- hydrodynamic systems. Zbl 0090.21402Hare, A. 3 1959 Two-dimensional problems of the decay of magnetic fields in magnetohydrodynamics. Zbl 0081.21901Cowling, T. G.; Hare, A. 20 1957 all cited Publications top 5 cited Publications all top 5 Cited by 711 Authors 29 Khare, Avinash 13 Sever, Ramazan 11 Saxena, Avadh Behari 10 Mandal, Bhabani Prasad 10 Rosu, Haret C. 9 Ram, P. C. 8 Grandati, Yves 8 Gürses, Metin 8 Pekcan, Asli 8 Roy, Pinaki 7 Fakhri, Hossein 7 Ranjani, S. Sree 6 Ahmadov, A. I. 6 Bagchi, Bijan Kumar 6 Gangopadhyaya, Asim 6 Kapoor, A. K. 6 Lundholm, Douglas 6 Panigrahi, Prasanta K. 6 Rasinariu, Constantin 6 Sukhatme, Uday P. 6 Yeşiltaş, Özlem 5 Algin, Abdullah 5 Bougie, Jonathan 5 Chung, Won-Sang 5 Fring, Andreas 5 He, Jingsong 5 Ma, Wen-Xiu 5 Mallow, Jeffry V. 4 Alhaidari, Abdulaziz D. 4 Basu-Mallick, Bireswar 4 Hassanabadi, Hassan 4 Hounkonnou, Mahouton Norbert 4 Khmelnytskaya, Kira V. 4 Lévai, Géza 4 Mazharimousavi, S. Habib 4 Mustafa, Omar 4 Quesne, Christiane 4 Rao, Jiguang 4 Rosas-Ortiz, Oscar 4 Schulze-Halberg, Axel 4 Senthilvelan, Murugaian 4 Tanaka, Toshiaki 4 Tezcan, Cevdet 3 Aktaş, Metin 3 Alejo, Miguel A. 3 Baradaran, Marzieh 3 Chenaghlou, Alireza 3 Cheng, Yi 3 Cooper, Fred 3 Dmitriev, Sergey V. 3 Dong, Shihai 3 Fernández C., David J. 3 Gómez-Ullate, David 3 Jain, Sudhir Ranjan 3 Kumari, Nisha 3 Lakshmanan, Muthusamy 3 Li, Jibin 3 Lin, Genghong 3 Malik, Rudra Prakash 3 Mancas, Stefan C. 3 Mihalache, Dumitru 3 Milson, Robert 3 Nagiyev, Shakir M. 3 Plyushchay, Mikhail S. 3 Sous, A. J. A. 3 Tarverdiyeva, V. A. 3 Yadav, Rajesh Kumar 3 Yan, Zhenya 3 Zhou, Zhan 3 Zhu, Zuonong 2 Abraham-Shrauner, Barbara 2 Aouachria, Mekki 2 Aslanova, S. M. 2 Assi, Ibsal A. 2 Badalov, Sabuhi V. 2 Bahlouli, Hocine 2 Bebikhov, Yuri V. 2 Bérard, Alain 2 Berkdemir, Ayse 2 Berkdemir, Cüneyt 2 Biazar, Jafar 2 Cen, Julia 2 Chen, Pisin 2 Chen, Yong 2 Chen, Yuzhu 2 Chow, Kwok Wing 2 Comtet, Alain 2 Conte, Robert Maurice 2 Dai, Wusheng 2 Dawson, John F. 2 de Gosson, Maurice Alexis 2 Dereziński, Jan 2 Fernández, David J. C. 2 Finkel, Federico 2 Font, José A. 2 Ganguly, Asish 2 González-López, Artemio 2 Govaerts, Jan 2 Gupta, Kumar Sankar 2 Hyman, James M. ...and 611 more Authors all top 5 Cited in 110 Serials 75 Journal of Mathematical Physics 47 Physics Letters. A 42 International Journal of Theoretical Physics 27 Modern Physics Letters A 27 Annals of Physics 15 Journal of Mathematical Chemistry 15 Journal of High Energy Physics 12 International Journal of Modern Physics A 11 Astrophysics and Space Science 11 Chaos, Solitons and Fractals 11 Advances in High Energy Physics 10 Communications in Nonlinear Science and Numerical Simulation 9 Nonlinear Dynamics 9 Journal of Nonlinear Mathematical Physics 8 Journal of Physics A: Mathematical and Theoretical 7 Theoretical and Mathematical Physics 7 Physica D 6 Journal of Statistical Physics 6 Applied Mathematics and Computation 6 Chaos 5 Journal of Mathematical Analysis and Applications 5 Nuclear Physics. B 5 Physica A 4 Archive for Rational Mechanics and Analysis 4 Physics Letters. B 4 Applied Mathematics Letters 3 International Journal of Modern Physics B 3 Acta Mechanica 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Journal of Computational Physics 3 Letters in Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Differential Equations 3 Russian Physics Journal 3 Annales Henri Poincaré 3 The European Physical Journal C. Particles and Fields 3 Symmetry 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Physics Reports 2 Wave Motion 2 Journal of Mathematical Sciences (New York) 2 Living Reviews in Relativity 2 Journal of Statistical Mechanics: Theory and Experiment 2 PMM, Journal of Applied Mathematics and Mechanics 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters B 1 Classical and Quantum Gravity 1 General Relativity and Gravitation 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Physics of Fluids, A 1 Reviews in Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Philosophical Logic 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 International Journal of Modern Physics D 1 Filomat 1 Advances in Computational Mathematics 1 Complexity 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 International Journal of Modern Physics C 1 Physical Review Letters 1 Czechoslovak Journal of Physics 1 Communications on Pure and Applied Analysis 1 Advances in Difference Equations 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Mathematical Analysis 1 Complex Analysis and Operator Theory ...and 10 more Serials all top 5 Cited in 41 Fields 322 Quantum theory (81-XX) 153 Partial differential equations (35-XX) 58 Dynamical systems and ergodic theory (37-XX) 56 Statistical mechanics, structure of matter (82-XX) 48 Special functions (33-XX) 37 Ordinary differential equations (34-XX) 27 Fluid mechanics (76-XX) 22 Mechanics of particles and systems (70-XX) 20 Relativity and gravitational theory (83-XX) 16 Numerical analysis (65-XX) 15 Optics, electromagnetic theory (78-XX) 14 Difference and functional equations (39-XX) 12 Operator theory (47-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Nonassociative rings and algebras (17-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of deformable solids (74-XX) 5 Number theory (11-XX) 5 Astronomy and astrophysics (85-XX) 4 Combinatorics (05-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Approximations and expansions (41-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Citations by Year