2. (1)Sharma BL, "Wiener-Hopf factorisation on unit circle: some examples from discrete scattering”,  Arxiv, arXiv:1912.05797, Dec 2020 (link) (preprint) DOI 1912.05797 [16 pages]

  3. (2)Sharma BL, "A Family of Solitary Waves in Frenkel-Kontorova Lattice”, Arxiv, arXiv: 1910.06904, 15 Oct 2019 (link) (preprint) DOI 1910.06904 [23 pages]

  4. (3)Sharma BL, "Energy expense via lattice wave emission for mode III brittle fracture in square, triangular, and hexagonal lattices”, Arxiv, arXiv:1909.06368, 15 Sep 2019 (link) (preprint) DOI 1909.06368 [12 pages]

  5. (4)Sharma BL, "Synchronization of globally coupled oscillators without symmetry in the distribution of natural frequencies”, Arxiv, arXiv: 1909.08513, 31 Aug 2019 (link) (preprint) DOI 1909.08513 [12 pages]

  6. (5)Sharma BL, "Scattering of electronic waves in square and triangular lattice half-planes with monoatomic step”, Arxiv, arXiv: 1909.00129, 31 Aug 2019 (link) (preprint) DOI 1909.00129 [37 pages]

  7. (6)Sharma BL, "Conductance of discrete bifurcated waveguides as three terminal junctions”, Arxiv, arXiv:1808.02834, 8 Aug 2018 (link) (preprint) DOI 1808.02834 [25 pages]

  8. (7)Sharma BL, "Kinematically restricted phonon transmission in partly-unzipped tubes of square and triangular lattices”, Arxiv, arXiv:1808.01873, 6 Aug 2018, (link) (preprint) DOI 1808.01873 [24 pages]

  9. (8)Sharma BL, "Glimpse of discrete mechanics”, Directions IITK, May 2014, 76-86 (link) (preprint) [11 pages]

  10. (9)Sharma BL, "The kinetic relation of a Peierls dislocation in a higher-gradient dispersive continuum”, Cornell University, Jan., 2005 (link, link) [278 pages]


  1. (1)Gibson, P, Sharma BL, "Inverse scattering for the discrete one-dimensional Schrödinger operator”, (under review), Vol. , 2024,  (link) (preprint) DOI [26 pages]

  2. (2)Garnier J, Sharma BL, "Surface waves in randomly perturbed discrete models”, SIAM Multiscale Modeling & Simulation, Vol. , 2024,  (link) (preprint) DOI [29 pages]

  3. (3)Novikov RG, Sharma BL, "Inverse source problem for discrete Helmholtz equation”, Inverse Problems , Vol. 40, 105005, 2024,  (link) (preprint) DOI 10.1088/1361-6420/ad7054 [17 pages]

  4. (4)Garnier J, Sharma BL, "Effective dynamics in lattices with random mass perturbations”, (under review), Vol. , 2024,  (link) (preprint) DOI [28 pages]

  5. (5)Sharma BL, "Scattering of surface waves by inhomogeneities in crystalline structures”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 480 (2286), 2024,  (link) (preprint) DOI 10.1098/rspa.2023.0683 [29 pages]

  6. (6)Nieves M, Sharma BL, "Interaction of in-plane waves with a structured penetrable line defect in an elastic lattice”, International Journal of Engineering Science, Vol. 197, 1 April 2024, 104011, 2024,  (link) (preprint) DOI 10.1016/j.ijengsci.2023.104011 [37 pages]

  7. (7)Novikov RG, Sharma BL, "Phase recovery from phaseless scattering data for discrete Schrödinger operators”, Inverse Problems, Vol. 39:12, 125006, 2023,  (link) (preprint) DOI 10.1088/1361-6420/ad03fe [10 pages]

  8. (8)Sharma BL, Perroti L, Dharmavaram S,  "Computational Modeling of Coupled Interactions of Fluid Membranes with Embedded Filaments”, Computer Methods in Applied Mechanics and Engineering, Volume 417, Part A, 1 December 2023, 116441,  (link) (preprint) DOI 10.1016/j.cma.2023.116441 [18 pages]

  9. (9)Dharmavaram S, Sharma BL, "Generalizing Parametric Invariance in the Calculus of Variations”, Mathematics and Mechanics of Solids, Vol. , 2023,  (link) (preprint) DOI 10.1177/10812865231181890 [27 pages]

  10. (10)Sharma BL, "Surface wave across crack-tip in a lattice model”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol 380:20210396, 2022 (link) (preprint) DOI 10.1098/rsta.2021.0396  [14 pages]

  11. (11)Sharma BL, "A dislocation dipole in one dimensional lattice model”, Philosophical Magazine, Vol. , 2021,  (link) (preprint) DOI 10.1080/14786435.2021.1964703 [44 pages]

  12. (12)Basak N  and Sharma BL, "Null lagrangians in linear theories of micropolar type and few other generalizations of elasticity”, Zeitschrift für angewandte Mathematik und Physik, Vol. , 2021,  (link) (preprint) DOI 10.1007/s00033-020-01433-2 [20 pages]

  13. (13)Sharma BL  and  Basak N, "Null Lagrangians in Cosserat elasticity”, Journal of Elasticity, Vol. , 2021,  (link) (preprint) DOI 10.1007/s10659-021-09818-8 [22 pages]

  14. (14)Sharma BL and Saxena P , "Variational principles of nonlinear magnetoelastostatics and their correspondences”, Mathematics and Mechanics of Solids, Vol. , 2020 (link) (preprint) DOI 10.1177/1081286520975808 [30 pages]

  15. (15)Liu Z, McBride A, Sharma BL, Steinmann P, Saxena P, "Coupled electro-elastic deformation and instabilities of a toroidal membrane”, Journal of the Mechanics and Physics of Solids, Vol. :, 2020 (link) (preprint) DOI 10.1016/j.jmps.2020.104221 [50 pages]

  16. (16)Maurya G  and Sharma BL, "Wave scattering on lattice structures involving array of cracks”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 476:20190966, 2020 (link) (preprint) DOI 10.1098/rspa.2019.0866 [20 pages]

  17. (17)Sharma BL and Mishuris G, "Scattering on square lattice from crack with damage zone”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 476: 20190686, 2020 (link) (preprint) DOI 10.1098/rspa.2019.0686 [18 pages]

  18. (18)Sharma BL, "Transmission of waves across atomic step discontinuities in discrete nanoribbon structures”, Zeitschrift für angewandte Mathematik und Physik, Vol. 71:2, 73,  2020 (link) (preprint) DOI 10.1007/s00033-020-01294-9 [27 pages]

  19. (19)Sharma BL, "Discrete scattering by two staggered semi-infinite defects: reduction of matrix Wiener-Hopf problem”, Journal of Engineering Mathematics, Vol. 123, 41--87, Aug 2020, (link) (preprint) DOI 10.1007/s10665-020-10054-7 [47 pages]

  20. (20)Saxena P  and Sharma BL, "On equilibrium equations and their perturbations using three different variational formulations of nonlinear electroelastostatics,”, Mathematics and Mechanics of Solids, Vol. 25(8), 1589--1609, 2020 (link) (preprint) DOI 10.1177/1081286520911073 [21 pages]

  21. (21)Sharma BL and Maurya G, "Discrete scattering by a pair of parallel defects”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol 378:20190102.,1:20, 2020 (link) (preprint, preprint) DOI 10.1098/rsta.2019.0102 [21 pages]

  22. (22)Maurya G  and Sharma BL, "Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener–Hopf factorization,”, Zeitschrift für angewandte Mathematik und Physik, Vol. : 70:133, 2019 (link) (preprint, preprint) DOI 10.1007/s00033-019-1183-2 [21 pages]

  23. (23)Sharma BL and Eremeyev, V, "Wave transmission across surface interfaces in lattice structures”, International Journal of Engineering Science, Vol. 145 , Dec 2019 (link) (preprint) DOI 10.1016/j.ijengsci.2019.103173 [16 pages]

  24. (24)Eremeyev, V and Sharma BL, "Anti-plane surface waves in media with surface structure: discrete vs. continuum model”, International Journal of Engineering Science, Vol. 143, Oct 2019, 33-38 (link) (preprint, preprint) DOI 10.1016/j.ijengsci.2019.06.007 [6 pages]

  25. (25)Sharma BL, "On electronic conductance of partially unzipped armchair nanotubes: further analysis”, The European physical journal B, Jan 2019, 92:1 (link) (preprint) DOI 10.1140/epjb/e2018-90391-2 [19 pages]

  26. (26)Sharma BL, "Electronic transport across a junction between armchair graphene nanotube and zigzag nanoribbon”, The European physical journal B, May 2018, 91:84 (link) (preprint) DOI 10.1140/epjb/e2018-80647-2 [25 pages] (Media coverage 1) (Media coverage 2) (Media coverage 3) (Media coverage 4) (Media coverage 5) (Media coverage 6) (Media coverage 7) (Media coverage 8) ( Altmetric coverage) (animation) (animation)

  27. (27)Sharma BL, "On prototypical wave transmission across a junction of waveguides with honeycomb structure”, Zeitschrift für angewandte Mathematik und Physik, Feb 2018, 69:16 (link) (preprint) DOI 10.1007/s00033-018-0909-x [27 pages]

  28. (28)Sharma BL, "On scattering of waves on square lattice half-plane with mixed boundary condition”, Zeitschrift für angewandte Mathematik und Physik, Oct 2017, 68:120 (link) (preprint) DOI 10.1007/s00033-017-0854-0 [24 pages]

  29. (29)Sharma BL, "On linear waveguides of zigzag honeycomb lattice strips”, Waves in Random and Complex Media, Vol. 28(1), May 2017,  96-138 (link) (preprint) DOI 10.1080/17455030.2017.1331061 [43 pages]

  30. (30)Sharma BL, "On linear waveguides of square and triangular lattice strips: an application of Chebyshev polynomials”, Sadhana, June 2017, Vol. 42, Issue 6, 901–927 (link) (preprint) DOI 10.1007/s12046-017-0646-4 [27 pages]

  31. (31)Sharma BL, "Continuum limit of the discrete Sommerfeld problems on square lattice”, Sadhana, May 2017, Vol. 42, Issue 5, 713–728 (link) (preprint) DOI 10.1007/s12046-017-0636-6 [16 pages]

  32. (32)Sharma BL, "On energy balance and the structure of radiated waves in kinetics of crystalline defects”, Journal of the Mechanics and Physics of Solids, Vol. 96, Nov 2016, 88-120 (link) (preprint) DOI 10.1016/j.jmps.2016.05.036 [33 pages]

  33. (33)Sharma BL, "Wave propagation in bifurcated waveguides of square lattice strips”, SIAM Journal on Applied Mathematics, 76(4), 1355-1381, Apr 2016 (link) (preprint) DOI 10.1137/15M1051464 [27 pages]

  34. (34)Sharma BL, "Edge diffraction on triangular and hexagonal lattices: Existence, uniqueness, and finite section”, Wave Motion, Vol. 65, Sep 2016, 55-78 (link) (preprint) DOI 10.1016/j.wavemoti.2016.04.005 [24 pages]

  35. (35)Sharma BL, "Diffraction of waves on triangular lattice by a semi-infinite rigid constraint and crack”, International Journal of Solids and Structures, Vol. 80, Feb 2016, 465-485 (link) (preprint) DOI 10.1016/j.ijsolstr.2015.10.008 [21 pages]

  36. (36)Sharma BL, "Diffraction of waves on square lattice by semi-infinite rigid constraint”, Wave Motion, Vol. 59, Dec 2015, 52-68 (link) (preprint) DOI 10.1016/j.wavemoti.2015.07.008 [17 pages](animation)

  37. (37)Sharma BL, "Discrete Sommerfeld diffraction problems on hexagonal lattice with a zigzag semi-infinite crack and rigid constraint”, Zeitschrift für angewandte Mathematik und Physik, Dec 2015, Vol. 66, Issue 6, 3591–3625 (link) (preprint) DOI 10.1007/s00033-015-0574-2 [35 pages] (animation) (animation)

  38. (38)Sharma BL, "Near-tip field for diffraction on square lattice by rigid constraint”, Zeitschrift für angewandte Mathematik und Physik, Oct 2015, Vol. 66, Issue 5, 2719–2740 (link) (preprint) DOI 10.1007/s00033-015-0508-z [21 pages]

  39. (39)Sharma BL, "Near-tip field for diffraction on square lattice by crack”, SIAM Journal on Applied Mathematics, 75(4), 1915-1940 Aug 2015 (link) (preprint) DOI 10.1137/15M1010646 [26 pages]

  40. (40)Sharma BL, "Diffraction of waves on square lattice by semi-infinite crack”, SIAM Journal on Applied Mathematics, 75(3), 1171-1192 Jun 2015 (link) (preprint) DOI 10.1137/140985093 [22 pages] (animation)

  41. (41)Sharma BL, Vainchtein A, "Quasistatic propagation of steps along a phase boundary”, Continuum Mechanics and Thermodynamics, Vol. 19, No. 6, 347-377, Nov, 2007 (link) (preprint) DOI 10.1007/s00161-007-0059-4 [31 pages]

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