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Author ID: khare.avinash Recent zbMATH articles by "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

Publications by Year

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
145
2001
Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations. Zbl 1320.35146
Khare, Avinash; Saxena, Avadh
34
2015
A PT-invariant potential with complex QES eigenvalues. Zbl 1115.81395
Khare, Avinash; Mandal, Bhabani Prasad
31
2000
Fractional statistics and quantum theory. 2nd ed. Zbl 1085.81002
Khare, Avinash
23
2005
Two-dimensional problems of the decay of magnetic fields in magnetohydrodynamics. Zbl 0081.21901
Cowling, T. G.; Hare, A.
20
1957
Exact solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1069.81016
Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh
18
2005
Negaton and positon solutions of the KdV and mKdV hierarchy. Zbl 0914.35119
Rasinariu, C.; Sukhatme, U.; Khare, Avinash
18
1996
Fractional statistics and quantum theory. Zbl 1038.81556
Khare, Avinash
17
1997
New solvable and quasiexactly solvable periodic potentials. Zbl 0968.81019
Khare, Avinash; Sukhatme, Uday
16
1999
New class of conditionally exactly solvable potentials in quantum mechanics. Zbl 0851.34080
Dutt, R.; Khare, Avinash; Varshni, Y. P.
14
1995
New shape-invariant potentials in supersymmetric quantum mechanics. Zbl 0812.58097
Khare, A.; Sukhatme, U. P.
13
1993
Parasupersymmetric quantum mechanics of arbitrary order. Zbl 0764.17003
Khare, Avinash
12
1992
Supersymmetry and the Dirac equation. Zbl 0651.58009
Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A.
12
1988
On some classes of mKdV periodic solutions. Zbl 1084.35073
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G.
11
2004
Stationary solitons of the fifth order KdV-type. Equations and their stabilization. Zbl 1037.35502
Dey, B.; Khare, Avinash; Kumar, C. Nagaraja
11
1996
Parasupersymmetry in quantum mechanics. Zbl 0822.58061
Khare, Avinash
10
1993
Superposition of elliptic functions as solutions for a large number of nonlinear equations. Zbl 1288.35153
Khare, Avinash; Saxena, Avadh
8
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.
8
2012
Linear superposition for a class of nonlinear equations. Zbl 1301.35152
Khare, Avinash; Saxena, Avadh
8
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
7
2007
Analytically solvable PT-invariant periodic potentials. Zbl 1123.81420
Khare, Avinash; Sukhatme, Uday
7
2004
Complex optical potentials and pseudo-Hermitian Hamiltonians. Zbl 1006.81095
Narayan 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 1019.81013
Khare, Avinash; Sukhatme, Uday
7
2001
Domain wall and periodic solutions of coupled \(\phi^{4}\) models in an external field. Zbl 1112.81030
Khare, Avinash; Saxena, Avadh
6
2006
Supersymmetric quantum mechanics on non-commutative plane. Zbl 1246.81062
Harikumar, E.; Sunil Kumar, V.; Khare, Avinash
6
2004
Do quasi-exactly solvable systems always correspond to orthogonal polynomials? Zbl 1044.81549
Khare, Avinash; Mandal, Bhabani Prasad
6
1998
Cyclic shape invariant potentials. Zbl 1044.81580
Sukhatme, Uday P.; Rasinariu, Constantin; Khare, Avinash
6
1997
Exact thermodynamics of the double sinh-Gordon theory in \(1+1\) dimensions. Zbl 0946.81047
Khare, Avinash; Habib, Salman; Saxena, Avadh
6
1997
Exact solution of an \(N\)-body problem in one dimension. Zbl 0916.58015
Khare, Avinash
6
1996
The scattering amplitude for rationally extended shape invariant Eckart potentials. Zbl 1304.81145
Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad
6
2015
Periodic potentials and supersymmetry. Zbl 1064.81054
Khare, Avinash; Sukhatme, Uday
5
2004
Coherent states for isospectral Hamiltonians. Zbl 0972.81566
Kumar, M. Sanjay; Khare, Avinash
5
1996
A quantum many-body problem in two dimensions: ground state. Zbl 1052.81693
Khare, Avinash; Ray, Koushik
5
1997
Stability of compacton solutions of fifth-order nonlinear dispersive equations. Zbl 0961.35140
Dey, Bishwajyoti; Khare, Avinash
5
2000
The scattering amplitude for a newly found exactly solvable potential. Zbl 1266.81140
Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad
4
2013
Statistical mechanics of double sinh-Gordon kinks. Zbl 0958.82037
Habib, Salman; Khare, Avinash; Saxena, Avadh
4
1998
Methods for generating quasi-exactly solvable potentials. Zbl 1020.81936
Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P.
4
1995
Group theoretic approach to rationally extended shape invariant potentials. Zbl 1343.81083
Yadav, Rajesh Kumar; Kumari, Nisha; Khare, Avinash; Mandal, Bhabani Prasad
4
2015
Some algebraically solvable three-body problems in one dimension. Zbl 0843.70008
Khare, Avinash; Bhaduri, R. K.
4
1994
The Riemann zeta function and the inverted harmonic oscillator. Zbl 0923.11122
Bhaduri, R. K.; Khare, Avinash; Reimann, S. M.; Tomusiak, E. L.
4
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
4
1997
Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems. Zbl 1042.81528
Khare, Avinash; Mandal, Bhabani Prasad
4
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
4
2016
Domain wall and periodic solutions of a coupled \(\phi^{6}\) model. Zbl 1152.81508
Khare, Avinash; Saxena, Avadh
4
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
4
2001
Domain wall and periodic solutions of coupled asymmetric double well models. Zbl 1137.82323
Khare, Avinash; Saxena, Avadh
3
2007
Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. Zbl 1129.35457
Khare, 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 1311.81217
Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad
3
2013
Cyclic identities involving Jacobi elliptic functions. Zbl 1060.33026
Khare, Avinash; Sukhatme, Uday
3
2002
The effect of viscosity on the stability of incompressible magneto- hydrodynamic systems. Zbl 0090.21402
Hare, A.
3
1959
Novel PT-invariant solutions for a large number of real nonlinear equations. Zbl 1364.81175
Khare, Avinash; Saxena, Avadh
3
2016
Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
3
2002
PT-invariant periodic potentials with a finite number of band gaps. Zbl 1110.81158
Khare, Avinash; Sukhatme, Uday
2
2005
Novel symmetries in \(\mathcal N=2\) supersymmetric quantum mechanical models. Zbl 1284.81146
Malik, R. P.; Khare, Avinash
2
2013
Cyclic identities for Jacobi elliptic and related functions. Zbl 1062.33020
Khare, Avinash; Lakshminarayan, Arul; Sukhatme, Uday
2
2003
A class of exact solutions for \(N\) anyons in an \(N\)-body potential. Zbl 0972.81699
Khare, Avinash
2
1996
An exactly solvable many-body problem in one dimension and the short-range Dyson model. Zbl 1059.81651
Jain, Sudhir R.; Khare, Avinash
2
1999
A number of quasiexactly solvable \(N\)-body problems. Zbl 0986.81121
Khare, Avinash; Mandal, Bhabani Prasad
2
1998
Exact ground state of several \(N\)-body problems with an \(N\)-body potential. Zbl 0956.81013
Khare, Avinash
2
1999
Reply to comment ‘Exact solution of an \(N\)-body problem in one dimension’. Zbl 0904.47071
Khare, Avinash
2
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
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 1410.35203
Khare, Avinash; Cooper, Fred; Dawson, John F.
2
2018
Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042
Khare, 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 1380.37124
Tamilselvan, K.; Kanna, T.; Khare, Avinash
2
2017
Chaos in gauge theories possessing vortices and monopole solutions. Zbl 0693.58047
Kumar, C. Nagaraja; Khare, Avinash
2
1989
Parasupersymmetric quantum mechanics and its infinite order limit. Zbl 1015.81507
Khare, Avinash; Mishra, A. K.; Rajasekaran, G.
2
1993
Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169
Cooper, F.; Khare, A.; Rose, H.
2
2001
A QES band-structure problem in one dimension. Zbl 0971.81196
Khare, A.
2
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
2
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
2
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
1
2011
Asymptotic calculation of discrete non-linear wave interactions. Zbl 1116.65102
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena, I.; Bishop, A. R.
1
2007
Periodic potentials and PT symmetry. Zbl 1117.81056
Khare, Avinash; Sukhatme, Uday
1
2006
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
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.
1
2014
Relationship between the energy eigenstates of Calogero-Sutherland models with oscillator and Coulomb-like potentials. Zbl 0986.81119
Ghosh, Pijush K.; Khare, Avinash
1
1999
The accidental degeneracy problem in nonrelativistic quantum mechanics. Zbl 0525.46046
Khare, Avinash
1
1983
A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems. Zbl 1372.81181
Kumari, 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 1384.35118
Cooper, 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 1329.81200
Cuevas-Maraver, Jesús; Khare, Avinash; Kevrekidis, Panayotis G.; Xu, Haitao; Saxena, Avadh
1
2015
A Calogero-Sutherland type model for branched polymers. Zbl 1022.81816
Jatkar, Dileep P.; Khare, Avinash
1
1996
Born-Infeld-Chern-Simons theory: Hamiltonian embedding, duality and bosonization. Zbl 0991.81063
Harikumar, E.; Khare, Avinash; Sivakumar, M.; Tripathy, Prasanta K.
1
2001
Testing Hall-Post inequalities with exactly solvable \(N\)-body problems. Zbl 0989.81151
Khare, Avinash; Richard, Jean-Marc
1
2001
Thermodynamics of a free \(q\)-fermion gas. Zbl 1063.82516
Dutt, Ranabir; Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P.
1
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.
1
2010
Truncated Calogero-Sutherland models on a circle. Zbl 1380.82022
Tummuru, Tarun R.; Jain, Sudhir R.; Khare, Avinash
1
2017
Affine Toda-Sutherland systems. Zbl 1053.81041
Khare, Avinash; Loris, I.; Sasaki, R.
1
2004
Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations. Zbl 1391.34027
Khare, 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 1410.35203
Khare, Avinash; Cooper, Fred; Dawson, John F.
2
2018
Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations. Zbl 1391.34027
Khare, Avinash; Saxena, Avadh
1
2018
Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042
Khare, 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 1380.37124
Tamilselvan, K.; Kanna, T.; Khare, Avinash
2
2017
A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems. Zbl 1372.81181
Kumari, 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 1384.35118
Cooper, 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 1380.82022
Tummuru, Tarun R.; Jain, Sudhir R.; Khare, Avinash
1
2017
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734
Mertens, 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 1364.81175
Khare, Avinash; Saxena, Avadh
3
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
2
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
2
2016
Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations. Zbl 1320.35146
Khare, Avinash; Saxena, Avadh
34
2015
The scattering amplitude for rationally extended shape invariant Eckart potentials. Zbl 1304.81145
Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad
6
2015
Group theoretic approach to rationally extended shape invariant potentials. Zbl 1343.81083
Yadav, Rajesh Kumar; Kumari, Nisha; Khare, Avinash; Mandal, Bhabani Prasad
4
2015
\(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators. Zbl 1329.81200
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
8
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.
1
2014
Linear superposition for a class of nonlinear equations. Zbl 1301.35152
Khare, Avinash; Saxena, Avadh
8
2013
The scattering amplitude for a newly found exactly solvable potential. Zbl 1266.81140
Yadav, 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 1311.81217
Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad
3
2013
Novel symmetries in \(\mathcal N=2\) supersymmetric quantum mechanical models. Zbl 1284.81146
Malik, R. P.; Khare, Avinash
2
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.
8
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
1
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.
1
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
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
Exact static solutions to a translationally invariant discrete \(\phi^{4}\) model. Zbl 1113.81094
Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh
7
2007
Domain wall and periodic solutions of coupled asymmetric double well models. Zbl 1137.82323
Khare, Avinash; Saxena, Avadh
3
2007
Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. Zbl 1129.35457
Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh
3
2007
Asymptotic calculation of discrete non-linear wave interactions. Zbl 1116.65102
Kevrekidis, 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 1112.81030
Khare, Avinash; Saxena, Avadh
6
2006
Periodic potentials and PT symmetry. Zbl 1117.81056
Khare, Avinash; Sukhatme, Uday
1
2006
Fractional statistics and quantum theory. 2nd ed. Zbl 1085.81002
Khare, Avinash
23
2005
Exact solutions of the saturable discrete nonlinear Schrödinger equation. Zbl 1069.81016
Khare, Avinash; Rasmussen, Kim Ø.; Samuelsen, Mogens R.; Saxena, Avadh
18
2005
PT-invariant periodic potentials with a finite number of band gaps. Zbl 1110.81158
Khare, Avinash; Sukhatme, Uday
2
2005
On some classes of mKdV periodic solutions. Zbl 1084.35073
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G.
11
2004
Analytically solvable PT-invariant periodic potentials. Zbl 1123.81420
Khare, Avinash; Sukhatme, Uday
7
2004
Supersymmetric quantum mechanics on non-commutative plane. Zbl 1246.81062
Harikumar, E.; Sunil Kumar, V.; Khare, Avinash
6
2004
Periodic potentials and supersymmetry. Zbl 1064.81054
Khare, Avinash; Sukhatme, Uday
5
2004
Affine Toda-Sutherland systems. Zbl 1053.81041
Khare, Avinash; Loris, I.; Sasaki, R.
1
2004
Complex optical potentials and pseudo-Hermitian Hamiltonians. Zbl 1006.81095
Narayan Deb, Ram; Khare, Avinash; Dutta Roy, Binayak
7
2003
Cyclic identities for Jacobi elliptic and related functions. Zbl 1062.33020
Khare, Avinash; Lakshminarayan, Arul; Sukhatme, Uday
2
2003
Cyclic identities involving Jacobi elliptic functions. Zbl 1060.33026
Khare, Avinash; Sukhatme, Uday
3
2002
Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
3
2002
Supersymmetry in quantum mechanics. Zbl 0988.81001
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
145
2001
Some exact results for mid-band and zero band-gap states of associated Lamé potentials. Zbl 1019.81013
Khare, Avinash; Sukhatme, Uday
7
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
4
2001
Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169
Cooper, F.; Khare, A.; Rose, H.
2
2001
A QES band-structure problem in one dimension. Zbl 0971.81196
Khare, A.
2
2001
Born-Infeld-Chern-Simons theory: Hamiltonian embedding, duality and bosonization. Zbl 0991.81063
Harikumar, E.; Khare, Avinash; Sivakumar, M.; Tripathy, Prasanta K.
1
2001
Testing Hall-Post inequalities with exactly solvable \(N\)-body problems. Zbl 0989.81151
Khare, Avinash; Richard, Jean-Marc
1
2001
A PT-invariant potential with complex QES eigenvalues. Zbl 1115.81395
Khare, Avinash; Mandal, Bhabani Prasad
31
2000
Stability of compacton solutions of fifth-order nonlinear dispersive equations. Zbl 0961.35140
Dey, Bishwajyoti; Khare, Avinash
5
2000
New solvable and quasiexactly solvable periodic potentials. Zbl 0968.81019
Khare, Avinash; Sukhatme, Uday
16
1999
An exactly solvable many-body problem in one dimension and the short-range Dyson model. Zbl 1059.81651
Jain, Sudhir R.; Khare, Avinash
2
1999
Exact ground state of several \(N\)-body problems with an \(N\)-body potential. Zbl 0956.81013
Khare, Avinash
2
1999
Relationship between the energy eigenstates of Calogero-Sutherland models with oscillator and Coulomb-like potentials. Zbl 0986.81119
Ghosh, Pijush K.; Khare, Avinash
1
1999
Do quasi-exactly solvable systems always correspond to orthogonal polynomials? Zbl 1044.81549
Khare, Avinash; Mandal, Bhabani Prasad
6
1998
Statistical mechanics of double sinh-Gordon kinks. Zbl 0958.82037
Habib, Salman; Khare, Avinash; Saxena, Avadh
4
1998
Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems. Zbl 1042.81528
Khare, Avinash; Mandal, Bhabani Prasad
4
1998
A number of quasiexactly solvable \(N\)-body problems. Zbl 0986.81121
Khare, Avinash; Mandal, Bhabani Prasad
2
1998
Fractional statistics and quantum theory. Zbl 1038.81556
Khare, Avinash
17
1997
Cyclic shape invariant potentials. Zbl 1044.81580
Sukhatme, Uday P.; Rasinariu, Constantin; Khare, Avinash
6
1997
Exact thermodynamics of the double sinh-Gordon theory in \(1+1\) dimensions. Zbl 0946.81047
Khare, Avinash; Habib, Salman; Saxena, Avadh
6
1997
A quantum many-body problem in two dimensions: ground state. Zbl 1052.81693
Khare, Avinash; Ray, Koushik
5
1997
The Riemann zeta function and the inverted harmonic oscillator. Zbl 0923.11122
Bhaduri, R. K.; Khare, Avinash; Reimann, S. M.; Tomusiak, E. L.
4
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
4
1997
Negaton and positon solutions of the KdV and mKdV hierarchy. Zbl 0914.35119
Rasinariu, C.; Sukhatme, U.; Khare, Avinash
18
1996
Stationary solitons of the fifth order KdV-type. Equations and their stabilization. Zbl 1037.35502
Dey, B.; Khare, Avinash; Kumar, C. Nagaraja
11
1996
Exact solution of an \(N\)-body problem in one dimension. Zbl 0916.58015
Khare, Avinash
6
1996
Coherent states for isospectral Hamiltonians. Zbl 0972.81566
Kumar, M. Sanjay; Khare, Avinash
5
1996
A class of exact solutions for \(N\) anyons in an \(N\)-body potential. Zbl 0972.81699
Khare, Avinash
2
1996
Reply to comment ‘Exact solution of an \(N\)-body problem in one dimension’. Zbl 0904.47071
Khare, Avinash
2
1996
A Calogero-Sutherland type model for branched polymers. Zbl 1022.81816
Jatkar, Dileep P.; Khare, Avinash
1
1996
New class of conditionally exactly solvable potentials in quantum mechanics. Zbl 0851.34080
Dutt, R.; Khare, Avinash; Varshni, Y. P.
14
1995
Methods for generating quasi-exactly solvable potentials. Zbl 1020.81936
Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P.
4
1995
Some algebraically solvable three-body problems in one dimension. Zbl 0843.70008
Khare, Avinash; Bhaduri, R. K.
4
1994
Thermodynamics of a free \(q\)-fermion gas. Zbl 1063.82516
Dutt, Ranabir; Gangopadhyaya, Asim; Khare, Avinash; Sukhatme, Uday P.
1
1994
New shape-invariant potentials in supersymmetric quantum mechanics. Zbl 0812.58097
Khare, A.; Sukhatme, U. P.
13
1993
Parasupersymmetry in quantum mechanics. Zbl 0822.58061
Khare, Avinash
10
1993
Parasupersymmetric quantum mechanics and its infinite order limit. Zbl 1015.81507
Khare, Avinash; Mishra, A. K.; Rajasekaran, G.
2
1993
Parasupersymmetric quantum mechanics of arbitrary order. Zbl 0764.17003
Khare, Avinash
12
1992
Chaos in gauge theories possessing vortices and monopole solutions. Zbl 0693.58047
Kumar, C. Nagaraja; Khare, Avinash
2
1989
Supersymmetry and the Dirac equation. Zbl 0651.58009
Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A.
12
1988
The accidental degeneracy problem in nonrelativistic quantum mechanics. Zbl 0525.46046
Khare, Avinash
1
1983
The effect of viscosity on the stability of incompressible magneto- hydrodynamic systems. Zbl 0090.21402
Hare, A.
3
1959
Two-dimensional problems of the decay of magnetic fields in magnetohydrodynamics. Zbl 0081.21901
Cowling, T. G.; Hare, A.
20
1957
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