## Khare, Avinash

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

89 Publications have been cited 639 times in 517 Documents Cited by Year
Supersymmetry in quantum mechanics. Zbl 0988.81001
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
2001
Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations. Zbl 1320.35146
2015
A PT-invariant potential with complex QES eigenvalues. Zbl 1115.81395
2000
Fractional statistics and quantum theory. 2nd ed. Zbl 1085.81002
Khare, Avinash
2005
Two-dimensional problems of the decay of magnetic fields in magnetohydrodynamics. Zbl 0081.21901
Cowling, T. G.; Hare, A.
1957
Exact solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1069.81016
Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh
2005
Negaton and positon solutions of the KdV and mKdV hierarchy. Zbl 0914.35119
Rasinariu, C.; Sukhatme, U.; Khare, Avinash
1996
Fractional statistics and quantum theory. Zbl 1038.81556
Khare, Avinash
1997
New solvable and quasiexactly solvable periodic potentials. Zbl 0968.81019
Khare, Avinash; Sukhatme, Uday
1999
New class of conditionally exactly solvable potentials in quantum mechanics. Zbl 0851.34080
Dutt, R.; Khare, Avinash; Varshni, Y. P.
1995
New shape-invariant potentials in supersymmetric quantum mechanics. Zbl 0812.58097
Khare, A.; Sukhatme, U. P.
1993
Parasupersymmetric quantum mechanics of arbitrary order. Zbl 0764.17003
Khare, Avinash
1992
Supersymmetry and the Dirac equation. Zbl 0651.58009
Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A.
1988
On some classes of mKdV periodic solutions. Zbl 1084.35073
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G.
2004
Stationary solitons of the fifth order KdV-type. Equations and their stabilization. Zbl 1037.35502
Dey, B.; Khare, Avinash; Kumar, C. Nagaraja
1996
Parasupersymmetry in quantum mechanics. Zbl 0822.58061
Khare, Avinash
1993
Superposition of elliptic functions as solutions for a large number of nonlinear equations. Zbl 1288.35153
2014
Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition. Zbl 1235.81081
Ranjani, S. Sree; Panigrahi, P. K.; Khare, A.; Kapoor, A. K.; Gangopadhyaya, A.
2012
Linear superposition for a class of nonlinear equations. Zbl 1301.35152
2013
Exact static solutions to a translationally invariant discrete $$\phi^{4}$$ model. Zbl 1113.81094
Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh
2007
Analytically solvable PT-invariant periodic potentials. Zbl 1123.81420
Khare, Avinash; Sukhatme, Uday
2004
Complex optical potentials and pseudo-Hermitian Hamiltonians. Zbl 1006.81095
Narayan Deb, Ram; Khare, Avinash; Dutta Roy, Binayak
2003
Some exact results for mid-band and zero band-gap states of associated Lamé potentials. Zbl 1019.81013
Khare, Avinash; Sukhatme, Uday
2001
Domain wall and periodic solutions of coupled $$\phi^{4}$$ models in an external field. Zbl 1112.81030
2006
Supersymmetric quantum mechanics on non-commutative plane. Zbl 1246.81062
Harikumar, E.; Sunil Kumar, V.; Khare, Avinash
2004
Do quasi-exactly solvable systems always correspond to orthogonal polynomials? Zbl 1044.81549
1998
Cyclic shape invariant potentials. Zbl 1044.81580
Sukhatme, Uday P.; Rasinariu, Constantin; Khare, Avinash
1997
Exact thermodynamics of the double sinh-Gordon theory in $$1+1$$ dimensions. Zbl 0946.81047
Khare, Avinash; Habib, Salman; Saxena, Avadh
1997
Exact solution of an $$N$$-body problem in one dimension. Zbl 0916.58015
Khare, Avinash
1996
The scattering amplitude for rationally extended shape invariant Eckart potentials. Zbl 1304.81145
2015
Periodic potentials and supersymmetry. Zbl 1064.81054
Khare, Avinash; Sukhatme, Uday
2004
Coherent states for isospectral Hamiltonians. Zbl 0972.81566
Kumar, M. Sanjay; Khare, Avinash
1996
A quantum many-body problem in two dimensions: ground state. Zbl 1052.81693
Khare, Avinash; Ray, Koushik
1997
Stability of compacton solutions of fifth-order nonlinear dispersive equations. Zbl 0961.35140
Dey, Bishwajyoti; Khare, Avinash
2000
The scattering amplitude for a newly found exactly solvable potential. Zbl 1266.81140
2013
Statistical mechanics of double sinh-Gordon kinks. Zbl 0958.82037
Habib, Salman; Khare, Avinash; Saxena, Avadh
1998
Methods for generating quasi-exactly solvable potentials. Zbl 1020.81936
Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P.
1995
Group theoretic approach to rationally extended shape invariant potentials. Zbl 1343.81083
2015
Some algebraically solvable three-body problems in one dimension. Zbl 0843.70008
1994
The Riemann zeta function and the inverted harmonic oscillator. Zbl 0923.11122
Bhaduri, R. K.; Khare, Avinash; Reimann, S. M.; Tomusiak, E. L.
1997
Novel correlations in two dimensions: Two-body problem. Zbl 0931.34068
Bhaduri, R. K.; Khare, Avinash; Law, J.; Murthy, M. V. N.; Sen, Diptiman
1997
Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems. Zbl 1042.81528
1998
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
2016
Domain wall and periodic solutions of a coupled $$\phi^{6}$$ model. Zbl 1152.81508
2008
A class of $$N$$-body problems with nearest- and next-to-nearest-neighbour interactions. Zbl 1034.81055
Auberson, Guy; Jain, Sudhir R.; Khare, Avinash
2001
Domain wall and periodic solutions of coupled asymmetric double well models. Zbl 1137.82323
2007
Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. Zbl 1129.35457
Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh
2007
The scattering amplitude for one parameter family of shape invariant potentials related to $$X_m$$ Jacobi polynomials. Zbl 1311.81217
2013
Cyclic identities involving Jacobi elliptic functions. Zbl 1060.33026
Khare, Avinash; Sukhatme, Uday
2002
The effect of viscosity on the stability of incompressible magneto- hydrodynamic systems. Zbl 0090.21402
Hare, A.
1959
Novel PT-invariant solutions for a large number of real nonlinear equations. Zbl 1364.81175
2016
Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
2002
PT-invariant periodic potentials with a finite number of band gaps. Zbl 1110.81158
Khare, Avinash; Sukhatme, Uday
2005
Novel symmetries in $$\mathcal N=2$$ supersymmetric quantum mechanical models. Zbl 1284.81146
Malik, R. P.; Khare, Avinash
2013
Cyclic identities for Jacobi elliptic and related functions. Zbl 1062.33020
Khare, Avinash; Lakshminarayan, Arul; Sukhatme, Uday
2003
A class of exact solutions for $$N$$ anyons in an $$N$$-body potential. Zbl 0972.81699
Khare, Avinash
1996
An exactly solvable many-body problem in one dimension and the short-range Dyson model. Zbl 1059.81651
Jain, Sudhir R.; Khare, Avinash
1999
A number of quasiexactly solvable $$N$$-body problems. Zbl 0986.81121
1998
Exact ground state of several $$N$$-body problems with an $$N$$-body potential. Zbl 0956.81013
Khare, Avinash
1999
Reply to comment ‘Exact solution of an $$N$$-body problem in one dimension’. Zbl 0904.47071
Khare, Avinash
1996
Parametric symmetries in exactly solvable real and PT symmetric complex potentials. Zbl 1341.81029
Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Kumari, Nisha; Mandal, Bhabani Prasad
2016
Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties. Zbl 1410.35203
Khare, Avinash; Cooper, Fred; Dawson, John F.
2018
Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042
Khare, Avinash; Cooper, Fred; Saxena, Avadh
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 1380.37124
Tamilselvan, K.; Kanna, T.; Khare, Avinash
2017
Chaos in gauge theories possessing vortices and monopole solutions. Zbl 0693.58047
Kumar, C. Nagaraja; Khare, Avinash
1989
Parasupersymmetric quantum mechanics and its infinite order limit. Zbl 1015.81507
Khare, Avinash; Mishra, A. K.; Rajasekaran, G.
1993
Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169
Cooper, F.; Khare, A.; Rose, H.
2001
A QES band-structure problem in one dimension. Zbl 0971.81196
Khare, A.
2001
Exact static solutions of a generalized discrete $$\phi^{4}$$ model including short-periodic solutions. Zbl 1161.81020
Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh
2009
Scattering amplitudes for the rationally extended $$PT$$ symmetric complex potentials. Zbl 1380.81427
Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Mandal, Bhabani Prasad
2016
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
2011
Asymptotic calculation of discrete non-linear wave interactions. Zbl 1116.65102
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena, I.; Bishop, A. R.
2007
Periodic potentials and PT symmetry. Zbl 1117.81056
Khare, Avinash; Sukhatme, Uday
2006
Higher order periodic solutions of coupled $$\phi^{4}$$ and $$\phi^{6}$$ models. Zbl 1176.81075
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.
2009
Elliptic waves in two-component long-wave-short-wave resonance interaction system in one and two dimensions. Zbl 1298.35028
Khare, Avinash; Kanna, T.; Tamilselvan, K.
2014
Relationship between the energy eigenstates of Calogero-Sutherland models with oscillator and Coulomb-like potentials. Zbl 0986.81119
Ghosh, Pijush K.; Khare, Avinash
1999
The accidental degeneracy problem in nonrelativistic quantum mechanics. Zbl 0525.46046
Khare, Avinash
1983
A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems. Zbl 1372.81181
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
2017
$$\mathcal{PT}$$-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
2015
A Calogero-Sutherland type model for branched polymers. Zbl 1022.81816
Jatkar, Dileep P.; Khare, Avinash
1996
Born-Infeld-Chern-Simons theory: Hamiltonian embedding, duality and bosonization. Zbl 0991.81063
Harikumar, E.; Khare, Avinash; Sivakumar, M.; Tripathy, Prasanta K.
2001
Testing Hall-Post inequalities with exactly solvable $$N$$-body problems. Zbl 0989.81151
Khare, Avinash; Richard, Jean-Marc
2001
Thermodynamics of a free $$q$$-fermion gas. Zbl 1063.82516
Dutt, Ranabir; Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P.
1994
Translationally invariant kink solutions of discrete $$\varphi^4$$ models. Zbl 1205.81110
Baimova, J. A.; Bebikhov, Yu. V.; Dmitriev, S. V.; Khare, A.; Potekaev, A. I.
2010
Truncated Calogero-Sutherland models on a circle. Zbl 1380.82022
Tummuru, Tarun R.; Jain, Sudhir R.; Khare, Avinash
2017
Affine Toda-Sutherland systems. Zbl 1053.81041
Khare, Avinash; Loris, I.; Sasaki, R.
2004
Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations. Zbl 1391.34027
2018
Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties. Zbl 1410.35203
Khare, Avinash; Cooper, Fred; Dawson, John F.
2018
Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations. Zbl 1391.34027
2018
Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042
Khare, Avinash; Cooper, Fred; Saxena, Avadh
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 1380.37124
Tamilselvan, K.; Kanna, T.; Khare, Avinash
2017
A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems. Zbl 1372.81181
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
2017
Truncated Calogero-Sutherland models on a circle. Zbl 1380.82022
Tummuru, Tarun R.; Jain, Sudhir R.; Khare, Avinash
2017
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
2016
Novel PT-invariant solutions for a large number of real nonlinear equations. Zbl 1364.81175
2016
Parametric symmetries in exactly solvable real and PT symmetric complex potentials. Zbl 1341.81029
Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Kumari, Nisha; Mandal, Bhabani Prasad
2016
Scattering amplitudes for the rationally extended $$PT$$ symmetric complex potentials. Zbl 1380.81427
Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Mandal, Bhabani Prasad
2016
Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations. Zbl 1320.35146
2015
The scattering amplitude for rationally extended shape invariant Eckart potentials. Zbl 1304.81145
2015
Group theoretic approach to rationally extended shape invariant potentials. Zbl 1343.81083
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
2015
Superposition of elliptic functions as solutions for a large number of nonlinear equations. Zbl 1288.35153
2014
Elliptic waves in two-component long-wave-short-wave resonance interaction system in one and two dimensions. Zbl 1298.35028
Khare, Avinash; Kanna, T.; Tamilselvan, K.
2014
Linear superposition for a class of nonlinear equations. Zbl 1301.35152
2013
The scattering amplitude for a newly found exactly solvable potential. Zbl 1266.81140
2013
The scattering amplitude for one parameter family of shape invariant potentials related to $$X_m$$ Jacobi polynomials. Zbl 1311.81217
2013
Novel symmetries in $$\mathcal N=2$$ supersymmetric quantum mechanical models. Zbl 1284.81146
Malik, R. P.; Khare, Avinash
2013
Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition. Zbl 1235.81081
Ranjani, S. Sree; Panigrahi, P. K.; Khare, A.; Kapoor, A. K.; Gangopadhyaya, A.
2012
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
2011
Translationally invariant kink solutions of discrete $$\varphi^4$$ models. Zbl 1205.81110
Baimova, J. A.; Bebikhov, Yu. V.; Dmitriev, S. V.; Khare, A.; Potekaev, A. I.
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
2009
Higher order periodic solutions of coupled $$\phi^{4}$$ and $$\phi^{6}$$ models. Zbl 1176.81075
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.
2009
Domain wall and periodic solutions of a coupled $$\phi^{6}$$ model. Zbl 1152.81508
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
2007
Domain wall and periodic solutions of coupled asymmetric double well models. Zbl 1137.82323
2007
Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. Zbl 1129.35457
Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh
2007
Asymptotic calculation of discrete non-linear wave interactions. Zbl 1116.65102
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena, I.; Bishop, A. R.
2007
Domain wall and periodic solutions of coupled $$\phi^{4}$$ models in an external field. Zbl 1112.81030
2006
Periodic potentials and PT symmetry. Zbl 1117.81056
Khare, Avinash; Sukhatme, Uday
2006
Fractional statistics and quantum theory. 2nd ed. Zbl 1085.81002
Khare, Avinash
2005
Exact solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1069.81016
Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh
2005
PT-invariant periodic potentials with a finite number of band gaps. Zbl 1110.81158
Khare, Avinash; Sukhatme, Uday
2005
On some classes of mKdV periodic solutions. Zbl 1084.35073
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G.
2004
Analytically solvable PT-invariant periodic potentials. Zbl 1123.81420
Khare, Avinash; Sukhatme, Uday
2004
Supersymmetric quantum mechanics on non-commutative plane. Zbl 1246.81062
Harikumar, E.; Sunil Kumar, V.; Khare, Avinash
2004
Periodic potentials and supersymmetry. Zbl 1064.81054
Khare, Avinash; Sukhatme, Uday
2004
Affine Toda-Sutherland systems. Zbl 1053.81041
Khare, Avinash; Loris, I.; Sasaki, R.
2004
Complex optical potentials and pseudo-Hermitian Hamiltonians. Zbl 1006.81095
Narayan Deb, Ram; Khare, Avinash; Dutta Roy, Binayak
2003
Cyclic identities for Jacobi elliptic and related functions. Zbl 1062.33020
Khare, Avinash; Lakshminarayan, Arul; Sukhatme, Uday
2003
Cyclic identities involving Jacobi elliptic functions. Zbl 1060.33026
Khare, Avinash; Sukhatme, Uday
2002
Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
2002
Supersymmetry in quantum mechanics. Zbl 0988.81001
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
2001
Some exact results for mid-band and zero band-gap states of associated Lamé potentials. Zbl 1019.81013
Khare, Avinash; Sukhatme, Uday
2001
A class of $$N$$-body problems with nearest- and next-to-nearest-neighbour interactions. Zbl 1034.81055
Auberson, Guy; Jain, Sudhir R.; Khare, Avinash
2001
Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169
Cooper, F.; Khare, A.; Rose, H.
2001
A QES band-structure problem in one dimension. Zbl 0971.81196
Khare, A.
2001
Born-Infeld-Chern-Simons theory: Hamiltonian embedding, duality and bosonization. Zbl 0991.81063
Harikumar, E.; Khare, Avinash; Sivakumar, M.; Tripathy, Prasanta K.
2001
Testing Hall-Post inequalities with exactly solvable $$N$$-body problems. Zbl 0989.81151
Khare, Avinash; Richard, Jean-Marc
2001
A PT-invariant potential with complex QES eigenvalues. Zbl 1115.81395
2000
Stability of compacton solutions of fifth-order nonlinear dispersive equations. Zbl 0961.35140
Dey, Bishwajyoti; Khare, Avinash
2000
New solvable and quasiexactly solvable periodic potentials. Zbl 0968.81019
Khare, Avinash; Sukhatme, Uday
1999
An exactly solvable many-body problem in one dimension and the short-range Dyson model. Zbl 1059.81651
Jain, Sudhir R.; Khare, Avinash
1999
Exact ground state of several $$N$$-body problems with an $$N$$-body potential. Zbl 0956.81013
Khare, Avinash
1999
Relationship between the energy eigenstates of Calogero-Sutherland models with oscillator and Coulomb-like potentials. Zbl 0986.81119
Ghosh, Pijush K.; Khare, Avinash
1999
Do quasi-exactly solvable systems always correspond to orthogonal polynomials? Zbl 1044.81549
1998
Statistical mechanics of double sinh-Gordon kinks. Zbl 0958.82037
Habib, Salman; Khare, Avinash; Saxena, Avadh
1998
Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems. Zbl 1042.81528
1998
A number of quasiexactly solvable $$N$$-body problems. Zbl 0986.81121
1998
Fractional statistics and quantum theory. Zbl 1038.81556
Khare, Avinash
1997
Cyclic shape invariant potentials. Zbl 1044.81580
Sukhatme, Uday P.; Rasinariu, Constantin; Khare, Avinash
1997
Exact thermodynamics of the double sinh-Gordon theory in $$1+1$$ dimensions. Zbl 0946.81047
Khare, Avinash; Habib, Salman; Saxena, Avadh
1997
A quantum many-body problem in two dimensions: ground state. Zbl 1052.81693
Khare, Avinash; Ray, Koushik
1997
The Riemann zeta function and the inverted harmonic oscillator. Zbl 0923.11122
Bhaduri, R. K.; Khare, Avinash; Reimann, S. M.; Tomusiak, E. L.
1997
Novel correlations in two dimensions: Two-body problem. Zbl 0931.34068
Bhaduri, R. K.; Khare, Avinash; Law, J.; Murthy, M. V. N.; Sen, Diptiman
1997
Negaton and positon solutions of the KdV and mKdV hierarchy. Zbl 0914.35119
Rasinariu, C.; Sukhatme, U.; Khare, Avinash
1996
Stationary solitons of the fifth order KdV-type. Equations and their stabilization. Zbl 1037.35502
Dey, B.; Khare, Avinash; Kumar, C. Nagaraja
1996
Exact solution of an $$N$$-body problem in one dimension. Zbl 0916.58015
Khare, Avinash
1996
Coherent states for isospectral Hamiltonians. Zbl 0972.81566
Kumar, M. Sanjay; Khare, Avinash
1996
A class of exact solutions for $$N$$ anyons in an $$N$$-body potential. Zbl 0972.81699
Khare, Avinash
1996
Reply to comment ‘Exact solution of an $$N$$-body problem in one dimension’. Zbl 0904.47071
Khare, Avinash
1996
A Calogero-Sutherland type model for branched polymers. Zbl 1022.81816
Jatkar, Dileep P.; Khare, Avinash
1996
New class of conditionally exactly solvable potentials in quantum mechanics. Zbl 0851.34080
Dutt, R.; Khare, Avinash; Varshni, Y. P.
1995
Methods for generating quasi-exactly solvable potentials. Zbl 1020.81936
Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P.
1995
Some algebraically solvable three-body problems in one dimension. Zbl 0843.70008
1994
Thermodynamics of a free $$q$$-fermion gas. Zbl 1063.82516
Dutt, Ranabir; Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P.
1994
New shape-invariant potentials in supersymmetric quantum mechanics. Zbl 0812.58097
Khare, A.; Sukhatme, U. P.
1993
Parasupersymmetry in quantum mechanics. Zbl 0822.58061
Khare, Avinash
1993
Parasupersymmetric quantum mechanics and its infinite order limit. Zbl 1015.81507
Khare, Avinash; Mishra, A. K.; Rajasekaran, G.
1993
Parasupersymmetric quantum mechanics of arbitrary order. Zbl 0764.17003
Khare, Avinash
1992
Chaos in gauge theories possessing vortices and monopole solutions. Zbl 0693.58047
Kumar, C. Nagaraja; Khare, Avinash
1989
Supersymmetry and the Dirac equation. Zbl 0651.58009
Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A.
1988
The accidental degeneracy problem in nonrelativistic quantum mechanics. Zbl 0525.46046
Khare, Avinash
1983
The effect of viscosity on the stability of incompressible magneto- hydrodynamic systems. Zbl 0090.21402
Hare, A.
1959
Two-dimensional problems of the decay of magnetic fields in magnetohydrodynamics. Zbl 0081.21901
Cowling, T. G.; Hare, A.
1957
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### 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
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### 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
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### 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)