Publications

1.[I] Inverse scattering problem for one-dimensional discrete Schrödinger operator

Gibson P., Sharma B. L. : arXiv: (2026)

2.[II] On inverse source problem for piecewise constant case

Novikov R., Sharma B. L. : Uspekhi Matematicheskikh Nauk (Russian Mathematical Surveys), Vol. 81, 165--166 (2026)doi:10.4213/rm10295Q2IF: 1.1

3.[III] Equilibrium of a circular von-Kármán plate bonded with a spatial Kirchhoff rod

Das D., Sharma B. L. : International Journal of Solids and Structures, Vol. 326, 113736 (2026)doi:10.1016/j.ijsolstr.2025.113736Q1IF: 4.6

4.[IV] Robustness of surface edge states in the presence of weak, localized disorder

Garnier J., Sharma B. L. : Physical Review E, Vol. 114, 024103 (2026)doi:10.1103/m3yd-t234Q2IF: 2.4

5.[I] Local bifurcation analysis of circular von-Kármán plate with Kirchhoff rod boundary

Das D., Sharma B. L. : SIAM Journal on Applied Mathematics, Vol. 85, 1749--1784 (2025)doi:10.1137/24M1703999Q1IF: 2.0

6.[II] Surface waves in randomly perturbed discrete models

Garnier J., Sharma B. L. : Multiscale Modeling \& Simulation, Vol. 23, 158--186 (2025)doi:10.1137/24M165510XQ1IF: 2.3

7.[III] Instabilities in colloidal crystals on fluid membranes

Dharmavaram S., Sharma B. L. : Soft Matter, Vol. 21, 9372--9385 (2025)doi:10.1039/D5SM00632EQ2IF: 3.0

8.[IV] On discrete X-ray transform

Novikov R., Sharma B. L. : arXiv:2505.07505 (2025)

9.[I] Effective dynamics in lattices with random mass perturbations

Garnier J., Sharma B. L. : Communications in Mathematical Sciences, Vol. 24, 1127--1154 (2024)doi:10.4310/CMS.260326192126Q2IF: 1.3

10.[II] Inverse source problem for discrete Helmholtz equation

Novikov R., Sharma B. L. : Inverse Problems, Vol. 40, Paper No. 105005, 17 (2024)doi:10.1088/1361-6420/ad7054Q1IF: 2.2

11.[III] Interaction of in-plane waves with a structured penetrable line defect in an elastic lattice

Nieves M. J., Sharma B. L. : International Journal of Engineering Science, Vol. 197, Paper No. 104011, 37 (2024)doi:10.1016/j.ijengsci.2023.104011Q1IF: 8.4

12.[IV] Generalizing parametrization invariance in the calculus of variations

Dharmavaram S., Sharma B. L. : Mathematics and Mechanics of Solids, Vol. 29, 219--245 (2024)doi:10.1177/10812865231181890Q2IF: 2.1

13.[V] Scattering of surface waves by inhomogeneities in crystalline structures

Sharma B. L. : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 480, 20230683 (2024)doi:10.1098/rspa.2023.0683Q1IF: 3.0

14.[I] Phase recovery from phaseless scattering data for discrete Schrödinger operators

Novikov R., Sharma B. L. : Inverse Problems, Vol. 39, Paper No. 125006, 12 (2023)doi:10.1088/1361-6420/ad03feQ1IF: 2.2

15.[II] Computational modeling of coupled interactions of fluid membranes with embedded filaments

Sharma B. L., Perotti L. E., Dharmavaram S. : Computer Methods in Applied Mechanics and Engineering, Vol. 417, Paper No. 116441, 18 (2023)doi:10.1016/j.cma.2023.116441Q1IF: 6.7

16.[I] Surface wave across crack-tip in a lattice model

Sharma B. L. : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 380, 20210396 (2022)doi:10.1098/rsta.2021.0396Q1IF: 4.5

17.[I] Variational principles of nonlinear magnetoelastostatics and their correspondences

Sharma B. L., Saxena P. : Mathematics and Mechanics of Solids, Vol. 26, 1424--1454 (2021)doi:10.1177/1081286520975808Q2IF: 2.1

18.[II] Coupled electro-elastic deformation and instabilities of a toroidal membrane

Liu Z., McBride A., Sharma B. L. A. S., Saxena P. : Journal of the Mechanics and Physics of Solids, Vol. 151, Paper No. 104221, 21 (2021)doi:10.1016/j.jmps.2020.104221Q1IF: 5.2

19.[III] Null Lagrangians in Cosserat elasticity

Sharma B. L., Basak N. : Journal of Elasticity, Vol. 143, 337--358 (2021)doi:10.1007/s10659-021-09818-8Q2IF: 1.8

20.[IV] Null Lagrangians in linear theories of micropolar type and few other generalizations of elasticity

Basak N., Sharma B. L. : Zeitschrift fuer angewandte Mathematik und Physik (ZAMP), Vol. 72, Paper No. 9, 20 (2021)doi:10.1007/s00033-020-01433-2Q1IF: 1.9

21.[V] A dislocation-dipole in one-dimensional lattice model

Sharma B. L. : Philosophical Magazine, Vol. 101, 2216-2259 (2021)doi:10.1080/14786435.2021.1964703Q2IF: 2.2

22.[I] Discrete scattering by two staggered semi-infinite defects: reduction of matrix Wiener-Hopf problem

Sharma B. L. : Journal of Engineering Mathematics, Vol. 123, 41--87 (2020)doi:10.1007/s10665-020-10054-7Q2IF: 1.5

23.[II] On equilibrium equations and their perturbations using three different variational formulations of nonlinear electroelastostatics

Saxena P., Sharma B. L. : Mathematics and Mechanics of Solids, Vol. 25, 1589--1609 (2020)doi:10.1177/1081286520911073Q2IF: 2.1

24.[III] Wave scattering on lattice structures involving an array of cracks

Maurya G., Sharma B. L. : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 476, 20190866, 20 (2020)doi:10.1098/rspa.2019.0866Q1IF: 3.0

25.[IV] Scattering on a square lattice from a crack with a damage zone

Sharma B. L., Mishuris G. : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 476, 20190686, 17 (2020)doi:10.1098/rspa.2019.0686Q1IF: 3.0

26.[V] Transmission of waves across atomic step discontinuities in discrete nanoribbon structures

Sharma B. L. : Zeitschrift fuer angewandte Mathematik und Physik (ZAMP), Vol. 71, Paper No. 73, 27 (2020)doi:10.1007/s00033-020-01294-9Q1IF: 1.9

27.[I] Discrete scattering by a pair of parallel defects

Sharma B. L., Maurya G. : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, 20190102 (2019)doi:10.1098/rsta.2019.0102Q1IF: 4.5

28.[II] Wave transmission across surface interfaces in lattice structures

Sharma B. L., Eremeyev V. A. : International Journal of Engineering Science, Vol. 145, 103173, 16 (2019)doi:10.1016/j.ijengsci.2019.103173Q1IF: 8.4

29.[III] Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener-Hopf factorization

Maurya G., Sharma B. L. : Zeitschrift fuer angewandte Mathematik und Physik (ZAMP), Vol. 70, Paper No. 133, 21 (2019)doi:10.1007/s00033-019-1183-2Q1IF: 1.9

30.[IV] Anti-plane surface waves in media with surface structure: discrete vs. continuum model

Eremeyev V. A., Sharma B. L. : International Journal of Engineering Science, Vol. 143, 33--38 (2019)doi:10.1016/j.ijengsci.2019.06.007Q1IF: 8.4

31.[V] On electronic conductance of partially unzipped armchair nanotubes: further analysis

Sharma B. L. : The European Physical Journal B, Vol. 92, Paper No. 1, 19 (2019)doi:10.1140/epjb/e2018-90391-2Q2IF: 1.6

32.[VI] Wiener-Hopf factorisation on unit circle: some examples from discrete scattering

Sharma B. L. : arXiv:1912.05797 (2019)

33.[VII] A Family of Solitary Waves in Frenkel-Kontorova Lattice

Sharma B. L. : arXiv:1910.06904 (2019)

34.[VIII] Synchronization of globally coupled oscillators without symmetry in the distribution of natural frequencies

Sharma B. L. : arXiv:1909.08513 (2019)

35.[IX] Energy expense via lattice wave emission for mode III brittle fracture in square, triangular, and hexagonal lattices

Sharma B. L. : arXiv:1909.06368 (2019)

36.[X] Scattering of electronic waves in square and triangular lattice half-planes with monoatomic step

Sharma B. L. : arXiv:1909.00129 (2019)

37.[I] Electronic transport across a junction between armchair graphene nanotube and zigzag nanoribbon: transmission in an armchair nanotube without a zigzag half-line of dimers

Sharma B. L. : The European Physical Journal B, Vol. 91, Paper No. 84, 25 (2018)doi:10.1140/epjb/e2018-80647-2Q2IF: 1.6

38.[II] On prototypical wave transmission across a junction of waveguides with honeycomb structure

Sharma B. L. : Zeitschrift fuer angewandte Mathematik und Physik (ZAMP), Vol. 69, Paper No. 16, 27 (2018)doi:10.1007/s00033-018-0909-xQ1IF: 1.9

39.[III] On linear waveguides of zigzag honeycomb lattice

Sharma B. L. : Waves in Random and Complex Media, Vol. 28, 96--138 (2018)doi:10.1080/17455030.2017.1331061Q2IF: 2.0

40.[IV] Conductance of discrete bifurcated waveguides as three terminal junctions

Sharma B. L. : arXiv:1808.02834 (2018)

41.[V] Kinematically restricted phonon transmission in partly-unzipped tubes of square and triangular lattices

Sharma B. L. : arXiv:1808.01873 (2018)

42.[I] On scattering of waves on square lattice half-plane with mixed boundary condition

Sharma B. L. : Zeitschrift fuer angewandte Mathematik und Physik (ZAMP), Vol. 68, Paper No. 120, 24 (2017)doi:10.1007/s00033-017-0854-0Q1IF: 1.9

43.[II] On linear waveguides of square and triangular lattice strips: an application of Chebyshev polynomials

Sharma B. L. : Sadhana - Academy Proceedings in Engineering Sciences, Vol. 42, 901--927 (2017)doi:10.1007/s12046-017-0646-4Q2IF: 1.2

44.[III] Continuum limit of discrete Sommerfeld problems on square lattice

Sharma B. L. : Sadhana - Academy Proceedings in Engineering Sciences, Vol. 42, 713--728 (2017)Q2IF: 1.2

45.[I] On energy balance and the structure of radiated waves in kinetics of crystalline defects

Sharma B. L. : Journal of the Mechanics and Physics of Solids, Vol. 96, 88--120 (2016)doi:10.1016/j.jmps.2016.05.036Q1IF: 5.2

46.[II] Wave propagation in bifurcated waveguides of square lattice strips

Sharma B. L. : SIAM Journal on Applied Mathematics, Vol. 76, 1355--1381 (2016)doi:10.1137/15M1051464Q1IF: 2.0

47.[III] Edge diffraction on triangular and hexagonal lattices: existence, uniqueness, and finite section

Sharma B. L. : Wave Motion, Vol. 65, 55--78 (2016)doi:10.1016/j.wavemoti.2016.04.005Q2IF: 2.2

48.[IV] Diffraction of waves on triangular lattice by a semi-infinite rigid constraint and crack

Sharma B. L. : International Journal of Solids and Structures, Vol. 80, 465-485 (2016)doi:https://doi.org/10.1016/j.ijsolstr.2015.10.008Q1IF: 4.6

49.[I] Discrete Sommerfeld diffraction problems on hexagonal lattice with a zigzag semi-infinite crack and rigid constraint

Sharma B. L. : Zeitschrift fuer angewandte Mathematik und Physik (ZAMP), Vol. 66, 3591--3625 (2015)doi:10.1007/s00033-015-0574-2Q1IF: 1.9

50.[II] Near-tip field for diffraction on square lattice by rigid constraint

Sharma B. L. : Zeitschrift fuer angewandte Mathematik und Physik (ZAMP), Vol. 66, 2719--2740 (2015)doi:10.1007/s00033-015-0508-zQ1IF: 1.9

51.[III] Diffraction of waves on square lattice by semi-infinite rigid constraint

Sharma B. L. : Wave Motion, Vol. 59, 52--68 (2015)doi:10.1016/j.wavemoti.2015.07.008Q2IF: 2.2

52.[IV] Near-tip field for diffraction on square lattice by crack

Sharma B. L. : SIAM Journal on Applied Mathematics, Vol. 75, 1915--1940 (2015)doi:10.1137/15M1010646Q1IF: 2.0

53.[V] Diffraction of waves on square lattice by semi-infinite crack

Sharma B. L. : SIAM Journal on Applied Mathematics, Vol. 75, 1171--1192 (2015)doi:10.1137/140985093Q1IF: 2.0

54.[I] Glimpse of discrete mechanics (Directions IITK, May, 76-86)

Sharma B. L. : arXiv: (2014)

55.[I] Quasistatic propagation of steps along a phase boundary

Sharma B. L., Vainchtein A. : Continuum Mechanics and Thermodynamics, Vol. 19, 347--377 (2007)doi:10.1007/s00161-007-0059-4Q2IF: 3.0

56.[I] The Kinetic Relation of a Peierls Dislocation in a Higher-Gradient Dispersive Continuum

Sharma B. L. : Cornell University, Ph.D. thesis (2005)