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Journal Articles

The application of the “inverse problem” method for constructing confining potentials that make N-soliton waveforms exact solutions in the Gross–Pitaevskii equation

Fred Cooper, Avinash Khare, John F. Dawson, Efstathios G. Charalampidis, Avadh Saxena

Chaos 34, 043138 (2024)

https://doi.org/10.1063/5.0183167

Published: April 2024

View articletitled, The application of the “inverse problem” method for constructing confining potentials that make N-soliton waveforms exact solutions in the Gross–Pitaevskii equation

Journal Articles

A class of exactly solvable real and complex PT symmetric reflectionless potentials

Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal

J. Math. Phys. 65, 032101 (2024)

https://doi.org/10.1063/5.0174810

Published: March 2024

View articletitled, A class of exactly solvable real and complex PT symmetric reflectionless potentials

Journal Articles

Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations

Avinash Khare, Avadh Saxena

J. Math. Phys. 63, 122903 (2022)

https://doi.org/10.1063/5.0109384

Published: December 2022

View articletitled, Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations

Journal Articles

Dipole and quadrupole nonparaxial solitary waves

Naresh Saha, Barnana Roy, Avinash Khare

Chaos 32, 093106 (2022)

https://doi.org/10.1063/5.0096099

Published: September 2022

View articletitled, Dipole and quadrupole nonparaxial solitary waves

Journal Articles

Coupled Helmholtz equations: Chirped solitary waves

Naresh Saha, Barnana Roy, Avinash Khare

Chaos 31, 113104 (2021)

https://doi.org/10.1063/5.0061969

Published: November 2021

View articletitled, Coupled Helmholtz equations: Chirped solitary waves

Journal Articles

A class of exactly solvable rationally extended non-central potentials in two and three dimensions

Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal

J. Math. Phys. 59, 062103 (2018)

https://doi.org/10.1063/1.4996282

Published: June 2018

View articletitled, A class of exactly solvable rationally extended non-central potentials in two and three dimensions

Journal Articles

Parametric symmetries in exactly solvable real and PT symmetric complex potentials

Rajesh Kumar Yadav, Avinash Khare, Bijan Bagchi, Nisha Kumari, Bhabani Prasad Mandal

J. Math. Phys. 57, 062106 (2016)

https://doi.org/10.1063/1.4954330

Published: June 2016

View articletitled, Parametric symmetries in exactly solvable real and PT symmetric complex potentials

Journal Articles

Response to “Comment on ‘Superposition of elliptic functions as solutions for a large number of nonlinear equations’” [J. Math. Phys. 56, 084101 (2015)]

Avinash Khare, Avadh Saxena

J. Math. Phys. 56, 113510 (2015)

https://doi.org/10.1063/1.4936076

Published: November 2015

View articletitled, Response to “Comment on ‘Superposition of elliptic functions as solutions for a large number of nonlinear equations’” [J. Math. Phys. 56, 084101 (2015)]

Journal Articles

Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations

Avinash Khare, Avadh Saxena

J. Math. Phys. 56, 032104 (2015)

https://doi.org/10.1063/1.4914335

Published: March 2015

View articletitled, Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations

Journal Articles

Superposition of elliptic functions as solutions for a large number of nonlinear equations

Avinash Khare, Avadh Saxena

J. Math. Phys. 55, 032701 (2014)

https://doi.org/10.1063/1.4866781

Published: March 2014

View articletitled, Superposition of elliptic functions as solutions for a large number of nonlinear equations

Journal Articles

Domain wall and periodic solutions of a coupled ϕ 6 model

Avinash Khare, Avadh Saxena

J. Math. Phys. 49, 063301 (2008)

https://doi.org/10.1063/1.2938691

Published: June 2008

View articletitled, Domain wall and periodic solutions of a coupled ϕ 6 model

Journal Articles

Domain wall and periodic solutions of coupled asymmetric double well models

Avinash Khare, Avadh Saxena

J. Math. Phys. 48, 043302 (2007)

https://doi.org/10.1063/1.2716202

Published: April 2007

View articletitled, Domain wall and periodic solutions of coupled asymmetric double well models

Journal Articles

Domain wall and periodic solutions of coupled ϕ 4 models in an external field

Avinash Khare, Avadh Saxena

J. Math. Phys. 47, 092902 (2006)

https://doi.org/10.1063/1.2345110

Published: September 2006

View articletitled, Domain wall and periodic solutions of coupled ϕ 4 models in an external field

Journal Articles

Complex periodic potentials with a finite number of band gaps

Avinash Khare, Uday Sukhatme

J. Math. Phys. 47, 062103 (2006)

https://doi.org/10.1063/1.2204810

Published: June 2006

View articletitled, Complex periodic potentials with a finite number of band gaps

Journal Articles

PT-invariant periodic potentials with a finite number of band gaps

Avinash Khare, Uday Sukhatme

J. Math. Phys. 46, 082106 (2005)

https://doi.org/10.1063/1.2000207

Published: August 2005

View articletitled, PT-invariant periodic potentials with a finite number of band gaps

Journal Articles

Supersymmetry in quantum mechanics

Avinash Khare

AIP Conf. Proc. 744, 133–165 (2004)

https://doi.org/10.1063/1.1853201

Published: December 2004

View articletitled, Supersymmetry in quantum mechanics

Journal Articles

Soliton lattice and single soliton solutions of the associated Lamé and Lamé potentials

Ioana Bena, Avinash Khare, Avadh Saxena

J. Math. Phys. 45, 2323–2337 (2004)

https://doi.org/10.1063/1.1738952

Published: June 2004

View articletitled, Soliton lattice and single soliton solutions of the associated Lamé and Lamé potentials

Journal Articles

Cyclic identities for Jacobi elliptic and related functions

Avinash Khare, Arul Lakshminarayan, Uday Sukhatme

J. Math. Phys. 44, 1822–1841 (2003)

https://doi.org/10.1063/1.1560856

Published: April 2003

View articletitled, Cyclic identities for Jacobi elliptic and related functions

Journal Articles

Supersymmetry in Quantum Mechanics

Fred Cooper, Avinash Khare, Uday Sukhatme, Richard W. Haymaker

Am. J. Phys. 71, 409 (2003)

https://doi.org/10.1119/1.1538576

Published: April 2003

View articletitled, Supersymmetry in Quantum Mechanics

Journal Articles

Cyclic identities involving Jacobi elliptic functions

Avinash Khare, Uday Sukhatme

J. Math. Phys. 43, 3798–3806 (2002)

https://doi.org/10.1063/1.1484541

Published: July 2002

View articletitled, Cyclic identities involving Jacobi elliptic functions

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The application of the “inverse problem” method for constructing confining potentials that make N-soliton waveforms exact solutions in the Gross–Pitaevskii equation

A class of exactly solvable real and complex PT symmetric reflectionless potentials

Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations

Dipole and quadrupole nonparaxial solitary waves

Coupled Helmholtz equations: Chirped solitary waves

A class of exactly solvable rationally extended non-central potentials in two and three dimensions

Parametric symmetries in exactly solvable real and PT symmetric complex potentials

Response to “Comment on ‘Superposition of elliptic functions as solutions for a large number of nonlinear equations’” [J. Math. Phys. 56, 084101 (2015)]

Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations

Superposition of elliptic functions as solutions for a large number of nonlinear equations

Domain wall and periodic solutions of a coupled ϕ 6 model

Domain wall and periodic solutions of coupled asymmetric double well models

Domain wall and periodic solutions of coupled ϕ 4 models in an external field

Complex periodic potentials with a finite number of band gaps

PT-invariant periodic potentials with a finite number of band gaps

Supersymmetry in quantum mechanics

Soliton lattice and single soliton solutions of the associated Lamé and Lamé potentials

Cyclic identities for Jacobi elliptic and related functions

Supersymmetry in Quantum Mechanics

Cyclic identities involving Jacobi elliptic functions

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