## Kumar, Sachin

Compute Distance To:
 Author ID: kumar.sachin Published as: Kumar, Sachin
 Documents Indexed: 135 Publications since 1967, including 1 Book 1 Contribution as Editor Co-Authors: 79 Co-Authors with 71 Joint Publications 3,132 Co-Co-Authors
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### Co-Authors

 9 single-authored 8 Gupta, Y. K. 7 Pandey, Prashant K. 6 Gupta, Rajesh Kumar 5 Biswas, Anjan 5 Chauhan, B. 5 Malik, Rudra Prakash 4 Ahmed, Zafar 4 Kumar, Dharmendra 4 Pratibha 4 Singh, Kuljeet 3 Bansal, S. P. 3 Das, Subir K. 3 Freeman, Neil C. 3 Jadaun, Vishakha 3 Kharbanda, Harsha 2 Agarwal, Satish Chandra 2 Băleanu, Dumitru I. 2 Cao, Jinde 2 Ghosh, Dona 2 Gómez-Aguilar, José Francisco 2 Govil, A. K. 2 Krishnan, Edamana Vasudevan 2 Kumari, Pinki 2 Negi, Alok 2 Sharma, Janak Raj 2 Sharma, Rajendra Kumar 2 Vats, Ramesh Kumar 2 Zeidan, Dia 1 Abdel-Aty, Mahmoud 1 Abdou, Mohammed Aly 1 Agarwal, Ashok Kumar 1 Agarwal, Praveen 1 Ahmad, Bashir 1 Akhter, Zuber 1 Alshehri, Hashim M. 1 Arora, Sangeeta 1 Askari, D. 1 Atangana, Abdon 1 Belić, Milivoj R. 1 Bhaskar, Avinash K. 1 Bhushan, Bharat Vinod 1 Bush, William B. 1 Chand, Mehar 1 Chandrasekaran, Ramaswamy 1 Chauhan, Astha 1 Craciun, Eduard-Marius 1 Dashora, Yogesh 1 de Albuquerque, Victor Hugo C. 1 Dhiman, Shubham Kumar 1 Ebadi, Ghodrat 1 Ekici, Mehmet 1 Eltayeb, Ibrahim A. 1 Eslami, Mostafa 1 Forrester, Peter J. 1 Garg, R. B. 1 Gomez, Francisco J. 1 Guhr, Thomas 1 Gupta, Pratibha 1 Hamid, Ihsanullah 1 Ipsen, Jesper R. 1 Jain, Shilpi 1 Jain, Sushil Kumar 1 Jensen, Iwan 1 Johnson, Robin Stanley 1 Jyoti, Divya 1 Kapur, P. K. 1 Kaur, Jaskiran 1 Kaur, Ravneet 1 Keeler, Jack S. 1 Khamparia, Aditya 1 Khan, M. J. S. 1 Kishor, B. 1 Kohli, Jogender K. 1 Kour, Baljinder 1 Kour, Paramjit 1 Kukreja, Vijay Kumar 1 Kureel, B. K. 1 Lacy, Thomas E. 1 Lal, G. K. 1 Li, Xiaodi 1 Lockerby, Duncan A. 1 Malhorta, N. K. 1 Malik, Sandeep 1 Mansotra, Vibhakar 1 Mirzazadeh, Mohammad 1 Mojaver, Aida 1 Mondal, M. Rubaiyat Hossain 1 Nashine, Hemant Kumar 1 Nathan, Joseph Amal 1 Newman, Stephen T. 1 Nieto Roig, Juan Jose 1 Niwas, Monika 1 Nock, A. 1 Ong, Seng-Huat 1 Ouahid, Loubna 1 Owyed, Saud 1 Pande, Sarang S. 1 Pandey, G. K. 1 Pargaei, Meena 1 Podder, Prajoy ...and 35 more Co-Authors
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### Serials

 8 Chaos, Solitons and Fractals 6 International Journal of Modern Physics A 5 Journal of Fluid Mechanics 5 Nonlinear Dynamics 4 Mathematics and Computers in Simulation 4 International Journal of Production Research 3 International Journal of Modern Physics B 3 Computer Methods in Applied Mechanics and Engineering 3 European Journal of Physics 3 IEEE Transactions on Reliability 3 Mathematical Methods in the Applied Sciences 2 Astrophysics and Space Science 2 Computers & Mathematics with Applications 2 International Journal of Theoretical Physics 2 Physics Letters. A 2 Acta Ciencia Indica. Mathematics 2 Cahiers du Centre d’Études de Recherche Opérationnelle 2 Jnanabha 2 Acta Mathematica Hungarica 2 Annals of Physics 2 Communications in Nonlinear Science and Numerical Simulation 2 Ultra Scientist of Physical Sciences 2 Journal of Rajasthan Academy of Physical Sciences 2 International Journal of Geometric Methods in Modern Physics 2 Advances in High Energy Physics 2 International Journal of Biomathematics 1 Modern Physics Letters A 1 Modern Physics Letters B 1 Aplikace Matematiky 1 Applied Mathematics and Computation 1 Calcolo 1 Computing 1 Fasciculi Mathematici 1 Indian Journal of Mathematics 1 Matematički Vesnik 1 Ricerche di Matematica 1 SCIMA. Journal of Management Science and Applied Cybernetics 1 Trabajos de Estadistica y de Investigacion Operativa 1 Journal of Information & Optimization Sciences 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 YUJOR. Yugoslav Journal of Operations Research 1 Journal of Statistical Computation and Simulation 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Experimental Mathematics 1 Physics of Fluids 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Fractals 1 Complexity 1 Bulletin of Pure & Applied Sciences E. Mathematics and Statistics 1 Journal of Discrete Mathematical Sciences & Cryptography 1 European Journal of Mechanics. A. Solids 1 Fundamenta Informaticae 1 Applied Science Periodical 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 International Journal of Differential Equations and Applications 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science 1 International Journal of Pure and Applied Mathematics 1 International Journal of Flexible Manufacturing Systems 1 International Journal of Applied Mathematics and Mechanics 1 Waves in Random and Complex Media 1 Series on Quality, Reliability and Engineering Statistics 1 International Journal of Nonlinear Science 1 Advances in Mathematical Physics 1 ProbStat Forum 1 International Journal of Engineering. Transactions A: Basics 1 International Journal of Research and Reviews in Applied Sciences 1 International Transactions in Mathematical Sciences and Computer 1 International Transactions in Applied Sciences 1 Caspian Journal of Mathematical Sciences 1 Journal of Fractional Calculus and Applications 1 Mathematical Sciences 1 Iranian Journal of Numerical Analysis and Optimization 1 International Journal of Applied and Computational Mathematics 1 Intelligent Biomedical Data Analysis
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### Fields

 40 Partial differential equations (35-XX) 22 Fluid mechanics (76-XX) 20 Numerical analysis (65-XX) 19 Operations research, mathematical programming (90-XX) 13 Ordinary differential equations (34-XX) 13 Biology and other natural sciences (92-XX) 12 Quantum theory (81-XX) 11 Relativity and gravitational theory (83-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Real functions (26-XX) 6 Computer science (68-XX) 5 Statistics (62-XX) 5 Mechanics of deformable solids (74-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 4 Information and communication theory, circuits (94-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

83 Publications have been cited 315 times in 170 Documents Cited by Year
Painlevé analysis, Lie symmetries and exact solutions for $$(2+1)$$-dimensional variable coefficients Broer-Kaup equations. Zbl 1245.35096
Kumar, Sachin; Singh, K.; Gupta, R. K.
2012
Solitons and other nonlinear waves of the Boussinesq equation. Zbl 1268.35023
Krishnan, E. V.; Kumar, Sachin; Biswas, Anjan
2012
Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis. Zbl 1211.35246
Singh, K.; Gupta, R. K.; Kumar, Sachin
2011
Contributions to hardware and software reliability. Zbl 0979.68005
Kapur, P. K.; Garg, R. B.; Kumar, S.
1999
The late-time development of the Richtmyer-Meshkov instability. Zbl 1184.76434
Prasad, J. K.; Rasheed, A.; Kumar, S.; Sturtevant, B.
2000
Hydromagnetic convective instability of a rotating, self-gravitating fluid sphere containing a uniform distribution of heat sources. Zbl 0392.76040
Eltayeb, I. A.; Kumar, S.
1977
Modeling and simulation of kinked cracks by virtual node XFEM. Zbl 1423.74834
Kumar, Sachin; Singh, I. V.; Mishra, B. K.; Rabczuk, Timon
2015
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101
Kumar, Sachin; Atangana, Abdon
2020
Solitary wave solutions of $$(3+1)$$-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach. Zbl 1442.35382
Kumar, Sachin; Kumar, Dharmendra
2019
Fixed point theorems in complete $$G$$-metric space. Zbl 1237.54064
Vats, R. K.; Kumar, S.; Sihag, V.
2011
Lie symmetry reductions and group invariant solutions of $$(2+1)$$-dimensional modified Veronese web equation. Zbl 1430.37086
Kumar, Sachin; Kumar, Amit
2019
Symmetry analysis and invariant solutions of $$(3 + 1)$$-dimensional Kadomtsev-Petviashvili equation. Zbl 1394.35015
2018
Oscillatory MHD flow of blood through an artery with mild stenosis. Zbl 1357.76101
Kumar, S.; Kumar, S.; Kumar, D.
2009
Invariant solutions of Einstein field equation for nonconformally flat fluid spheres of embedding class one. Zbl 1194.83049
Kumar, Sachin; Gupta, Pratibha; Gupta, Y. K.
2010
(Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: a couple of relativistic toy models as examples. Zbl 1396.81202
Kumar, S.; Chauhan, B.; Malik, R. P.
2018
Some nonconformal accelerating perfect fluid plates of embedding class 1 using similarity transformations. Zbl 1193.83027
Gupta, Y. K.; Pratibha; Kumar, Sachin
2010
Solitons and other solutions of the long-short wave equation. Zbl 1356.35215
Ebadi, Ghodrat; Mojaver, Aida; Kumar, Sachin; Biswas, Anjan
2015
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation. Zbl 07511386
Kumar, Sachin; Kumar, Dharmendra; Kumar, Amit
2021
Kernel distance-based robust support vector method and its application in developing a robust K-chart. Zbl 1095.62137
Kumar, S.; Choudhary, A. K.; Kumar, M.; Shankar, R.; Tiwari, M. K.
2006
Lie symmetry analysis and invariant solutions of $$(3+1)$$-dimensional Calogero-Bogoyavlenskii-Schiff equation. Zbl 1398.37062
2018
Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach. Zbl 1442.35380
Kumar, Dharmendra; Kumar, Sachin
2019
On explicit exact solutions and conservation laws for time fractional variable – coefficient coupled Burger’s equations. Zbl 1451.35253
Kaur, Jaskiran; Gupta, Rajesh Kumar; Kumar, Sachin
2020
Symmetry reductions, generalized solutions and dynamics of wave profiles for the $$(2+1)$$-dimensional system of Broer-Kaup-Kupershmidt (BKK) equations. Zbl 07487732
Kumar, Sachin; Dhiman, Shubham Kumar; Chauhan, Astha
2022
Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa-Holm-Kadomtsev-Petviashvili equation. Zbl 1455.35222
Kumar, Sachin; Niwas, Monika; Hamid, Ihsanullah
2021
Critical path problem under assignment constraint - an application of an extreme point mathematical programming problem. Zbl 0462.90043
Chandrasekaran, R.; Kumar, S.; Wagner, D.
1980
Painlevé analysis and invariant solutions of Vakhnenko-Parkes (VP) equation with power law nonlinearity. Zbl 1355.35007
Kumar, Sachin
2016
Modified 2D Proca theory: revisited under BRST and (anti-)chiral superfield formalisms. Zbl 1434.81058
Chauhan, B.; Kumar, S.; Tripathi, A.; Malik, R. P.
2020
Numerical solution of two dimensional reaction-diffusion equation using operational matrix method based on Genocchi polynomial. I: Genocchi polynomial and operational matrix. Zbl 1463.35502
Kumar, Sachin; Pandey, Prashant; Das, Subir; Craciun, E.-M.
2019
Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey. Zbl 1448.92213
Kumar, Sachin; Kharbanda, Harsha
2019
A novel mathematical approach of COVID-19 with non-singular fractional derivative. Zbl 1490.92101
Kumar, Sachin; Cao, Jinde; Abdel-Aty, Mahmoud
2020
(anti-)chiral superfield approach to interacting abelian 1-form gauge theories: nilpotent and absolutely anticommuting charges. Zbl 1382.81138
Chauhan, B.; Kumar, S.; Malik, R. P.
2018
Charged analogues of Henning Knutsen type solutions in general relativity. Zbl 1242.83021
Gupta, Y. K.; Kumar, Sachin; Pratibha
2011
Flow past a rotationally oscillating cylinder. Zbl 1294.76027
Kumar, S.; Lopez, C.; Probst, O.; Francisco, G.; Askari, D.; Yang, Y.
2013
Generalized invariant solutions for spherical symmetric non-conformally flat fluid distributions of embedding class one. Zbl 1307.83027
Kumar, Sachin; Gupta, Y. K.
2014
Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations. Zbl 1438.35433
Kumar, Sachin; Pandey, Prashant; Das, Subir
2019
Numerical solution of two-dimensional time fractional cable equation with Mittag-Leffler kernel. Zbl 1454.65124
Kumar, Sachin; Baleanu, Dumitru
2020
Preserving properties and pre-Schwarzian norms of nonlinear integral transforms. Zbl 1474.30150
Kumar, S.; Sahoo, S. K.
2020
Asymptotic stability of one prey and two predators model with two functional responses. Zbl 1430.92070
Kharbanda, Harsha; Kumar, Sachin
2019
Some more solutions of Caudrey-Dodd-Gibbon equation using optimal system of Lie symmetries. Zbl 1459.35012
Kumar, Dharmendra; Kumar, Sachin
2020
Existence and uniqueness results for three-point nonlinear fractional (arbitrary order) boundary value problem. Zbl 1488.34135
Kumar, Sachin; Vats, Ramesh Kumar; Nashine, Hemant Kumar
2018
Numerical treatment for Burgers-Fisher and generalized Burgers-Fisher equations. Zbl 1473.65201
Kumar, S.; Saha Ray, S.
2021
Exact solutions of $$b$$-family equation: classical Lie approach and direct method. Zbl 1235.35256
Singh, K.; Gupta, R. K.; Kumar, Sachin
2011
Inferential statistics on the dynamic system model with time-dependent failure-rate. Zbl 1348.62085
Singh, Bhupendra; Rathi, Shubhi; Kumar, Sachin
2013
Distributions of off-diagonal scattering matrix elements: Exact results. Zbl 1342.81648
Nock, A.; Kumar, S.; Sommers, H.-J.; Guhr, T.
2014
Revisiting double Dirac delta potential. Zbl 1344.81066
Ahmed, Zafar; Kumar, Sachin; Sharma, Mayank; Sharma, Vibhu
2016
Effective gravitational mass of the Ayón-Beato and García metric. Zbl 1320.83028
Sinha, A. K.; Pandey, G. K.; Bhaskar, A. K.; Rai, B. C.; Jha, A. K.; Kumar, S.
2015
Solvable models of an open well and a bottomless barrier: one-dimensional exponential potentials. Zbl 1390.81136
Ahmed, Zafar; Ghosh, Dona; Kumar, Sachin; Turumella, Nihar
2018
Invariant solutions of Biswas-Milovic equation. Zbl 1372.37116
Kumar, Sachin
2017
Numerical solutions for the reaction-diffusion, diffusion-wave, and Cattaneo equations using a new operational matrix for the Caputo-Fabrizio derivative. Zbl 1459.65199
Kumar, Sachin; Aguilar, José Francisco Gómez; Pandey, Prashant
2020
Lie symmetry analysis and dynamical structures of soliton solutions for the $$(2+1)$$-dimensional modified CBS equation. Zbl 1451.35167
Kumar, S.; Kumar, D.
2020
Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana-Baleanu time fractional derivative. Zbl 1489.35300
Kumar, Sachin; Pandey, Prashant
2020
A plentiful supply of soliton solutions for DNA Peyrard-Bishop equation by means of a new auxiliary equation strategy. Zbl 1490.92042
Ouahid, Loubna; Abdou, M. A.; Kumar, Sachin; Owyed, Saud; Ray, S. Saha
2021
Straddled optical solitons for cubic-quartic Lakshmanan-Porsezian-Daniel model by Lie symmetry. Zbl 07412710
Kumar, Sachin; Biswas, Anjan; Zhou, Qin; Yıldırım, Yakup; Alshehri, Hashim M.; Belic, Milivoj R.
2021
Multiscale modeling of strength and failure behavior of carbon nanostructure reinforced epoxy composite adhesives in bonded systems. Zbl 1484.74002
Upadhyaya, Priyank; Kumar, S.; Reddy, J. N.; Lacy, Thomas E.
2020
Localizing gradient damage model with micro inertia effect for dynamic fracture. Zbl 1441.74218
Wang, Zhao; Shedbale, Amit Subhash; Kumar, Sachin; Poh, Leong Hien
2019
The time fractional $$D(m, n)$$ system: invariant analysis, explicit solution, conservation laws and optical soliton. Zbl 07538129
Kumari, Pinki; Gupta, R. K.; Kumar, Sachin
2022
Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes. Zbl 07545903
Kumar, Sachin; Kumar, Amit
2022
How many eigenvalues of a product of truncated orthogonal matrices are real? Zbl 1466.15035
Forrester, Peter J.; Ipsen, Jesper R.; Kumar, S.
2020
Approximate analytical solution of two-dimensional space-time fractional diffusion equation. Zbl 1450.35223
Pandey, Prashant; Kumar, Sachin; Gómez, Francisco
2020
Nilpotent charges in an interacting gauge theory and an $$\mathcal{N} = 2$$ SUSY quantum mechanical model: (anti-)chiral superfield approach. Zbl 1471.81068
Chauhan, B.; Kumar, S.; Malik, R. P.
2019
Deadlock-free scheduling of an automated manufacturing system using an enhanced colored time resource Petri-net model-based evolutionary endosymbiotic learning automata approach. Zbl 1147.90343
Dashora, Y.; Kumar, S.; Tiwari, M. K.; Newman, S. T.
2007
A feature recognition methodology for extrudable product shapes. Zbl 0949.90557
Kumar, S.; Shanker, K.; Lal, G. K.
1999
Maximum reliability route subject to k-improvements in a directed network. Zbl 0356.94034
Bansal, S. P.; Kumar, S.
1977
Stochastic behaviour of a complex system under priority repair. Zbl 0217.27003
Govil, A. K.; Kumar, S.
1970
Shortest route subject to improvements through dynamic programming. Zbl 0232.90061
Bansal, S. P.; Kumar, S.
1972
Shortest route subject to improvements through dynamic programming. Zbl 0242.90014
Bansal, S. P.; Kumar, S.
1972
On the solution of the Navier-Stokes equations for a spherically symmetric expanding flow. Zbl 0251.76049
Freeman, N. C.; Kumar, S.
1972
Expert enhanced coloured stochastic Petri net and its application in assembly/disassembly. Zbl 1052.90522
Kumar, S.; Kumar, R.; Shankar, R.; Tiwari, M. K.
2003
A new class of relativistic perfect fluid cylinders with expansion proportional to shear scalar. Zbl 1213.83047
Gupta, Y. K.; Kumar, Sachin; Pratibha
2011
Some static and non-static cylindrical symmetric perfect fluid distributions in general relativity. Zbl 1225.83022
Kumar, Sachin; Gupta, Y. K.; Sharma, J. R.
2009
On ‘useful’ R-norm relative information and J-divergence measures. Zbl 1258.94031
Kumar, S.; Ram, G.; Gupta, V.
2012
Complete flux scheme for conservation laws containing a linear source. Zbl 1352.65434
ten Thije Boonkkamp, J. H. M.; Rathish Kumar, B. V.; Kumar, S.; Pargaei, M.
2016
Dirichlet spectra of the paradigm model of complex PT-symmetric potential: $$V(x)=-(ix)^N$$. Zbl 1373.81237
Ahmed, Zafar; Kumar, Sachin; Sharma, Dhruv
2017
Fuzzy optimization of primal-dual pair using piecewise linear membership functions. Zbl 1289.90273
Pandey, D.; Kumar, S.
2012
Wavelet based numerical scheme for differential equations. Zbl 1283.65070
Dhawan, S.; Arora, Sangeeta; Kumar, S.
2013
The instability of streaming Walters’ (model B’) fluids in porous medium in hydromagnetics. Zbl 1431.76126
Kumar, S.
2011
Extraction of cube root of a real number. Zbl 1243.65036
Kumar, Sachin; Agarwal, Ashok Kumar
2003
Symmetry analysis and some new exact solutions of Born-Infeld equation. Zbl 1407.35010
2018
Chebyshev spectral method for solving fuzzy fractional Fredholm-Volterra integro-differential equation. Zbl 07431739
Kumar, Sachin; Nieto, Juan J.; Ahmad, Bashir
2022
Bessel functions associated with Saigo-Maeda fractional derivative operators. Zbl 07444546
Agarwal, Praveen; Jain, Shilpi; Chand, M.; Dwivedi, A. K.; Kumar, S.
2014
Lowest order virtual element approximations for transient Stokes problem on polygonal meshes. Zbl 1479.65011
Verma, N.; Kumar, S.
2021
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation. Zbl 07398301
Kumar, Sachin; Zeidan, Dia
2021
Chaos detection and optimal control in a cannibalistic prey-predator system with harvesting. Zbl 1448.92208
Kharbanda, Harsha; Kumar, Sachin
2020
Symmetry reductions, generalized solutions and dynamics of wave profiles for the $$(2+1)$$-dimensional system of Broer-Kaup-Kupershmidt (BKK) equations. Zbl 07487732
Kumar, Sachin; Dhiman, Shubham Kumar; Chauhan, Astha
2022
The time fractional $$D(m, n)$$ system: invariant analysis, explicit solution, conservation laws and optical soliton. Zbl 07538129
Kumari, Pinki; Gupta, R. K.; Kumar, Sachin
2022
Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes. Zbl 07545903
Kumar, Sachin; Kumar, Amit
2022
Chebyshev spectral method for solving fuzzy fractional Fredholm-Volterra integro-differential equation. Zbl 07431739
Kumar, Sachin; Nieto, Juan J.; Ahmad, Bashir
2022
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation. Zbl 07511386
Kumar, Sachin; Kumar, Dharmendra; Kumar, Amit
2021
Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa-Holm-Kadomtsev-Petviashvili equation. Zbl 1455.35222
Kumar, Sachin; Niwas, Monika; Hamid, Ihsanullah
2021
Numerical treatment for Burgers-Fisher and generalized Burgers-Fisher equations. Zbl 1473.65201
Kumar, S.; Saha Ray, S.
2021
A plentiful supply of soliton solutions for DNA Peyrard-Bishop equation by means of a new auxiliary equation strategy. Zbl 1490.92042
Ouahid, Loubna; Abdou, M. A.; Kumar, Sachin; Owyed, Saud; Ray, S. Saha
2021
Straddled optical solitons for cubic-quartic Lakshmanan-Porsezian-Daniel model by Lie symmetry. Zbl 07412710
Kumar, Sachin; Biswas, Anjan; Zhou, Qin; Yıldırım, Yakup; Alshehri, Hashim M.; Belic, Milivoj R.
2021
Lowest order virtual element approximations for transient Stokes problem on polygonal meshes. Zbl 1479.65011
Verma, N.; Kumar, S.
2021
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation. Zbl 07398301
Kumar, Sachin; Zeidan, Dia
2021
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101
Kumar, Sachin; Atangana, Abdon
2020
On explicit exact solutions and conservation laws for time fractional variable – coefficient coupled Burger’s equations. Zbl 1451.35253
Kaur, Jaskiran; Gupta, Rajesh Kumar; Kumar, Sachin
2020
Modified 2D Proca theory: revisited under BRST and (anti-)chiral superfield formalisms. Zbl 1434.81058
Chauhan, B.; Kumar, S.; Tripathi, A.; Malik, R. P.
2020
A novel mathematical approach of COVID-19 with non-singular fractional derivative. Zbl 1490.92101
Kumar, Sachin; Cao, Jinde; Abdel-Aty, Mahmoud
2020
Numerical solution of two-dimensional time fractional cable equation with Mittag-Leffler kernel. Zbl 1454.65124
Kumar, Sachin; Baleanu, Dumitru
2020
Preserving properties and pre-Schwarzian norms of nonlinear integral transforms. Zbl 1474.30150
Kumar, S.; Sahoo, S. K.
2020
Some more solutions of Caudrey-Dodd-Gibbon equation using optimal system of Lie symmetries. Zbl 1459.35012
Kumar, Dharmendra; Kumar, Sachin
2020
Numerical solutions for the reaction-diffusion, diffusion-wave, and Cattaneo equations using a new operational matrix for the Caputo-Fabrizio derivative. Zbl 1459.65199
Kumar, Sachin; Aguilar, José Francisco Gómez; Pandey, Prashant
2020
Lie symmetry analysis and dynamical structures of soliton solutions for the $$(2+1)$$-dimensional modified CBS equation. Zbl 1451.35167
Kumar, S.; Kumar, D.
2020
Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana-Baleanu time fractional derivative. Zbl 1489.35300
Kumar, Sachin; Pandey, Prashant
2020
Multiscale modeling of strength and failure behavior of carbon nanostructure reinforced epoxy composite adhesives in bonded systems. Zbl 1484.74002
Upadhyaya, Priyank; Kumar, S.; Reddy, J. N.; Lacy, Thomas E.
2020
How many eigenvalues of a product of truncated orthogonal matrices are real? Zbl 1466.15035
Forrester, Peter J.; Ipsen, Jesper R.; Kumar, S.
2020
Approximate analytical solution of two-dimensional space-time fractional diffusion equation. Zbl 1450.35223
Pandey, Prashant; Kumar, Sachin; Gómez, Francisco
2020
Chaos detection and optimal control in a cannibalistic prey-predator system with harvesting. Zbl 1448.92208
Kharbanda, Harsha; Kumar, Sachin
2020
Solitary wave solutions of $$(3+1)$$-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach. Zbl 1442.35382
Kumar, Sachin; Kumar, Dharmendra
2019
Lie symmetry reductions and group invariant solutions of $$(2+1)$$-dimensional modified Veronese web equation. Zbl 1430.37086
Kumar, Sachin; Kumar, Amit
2019
Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach. Zbl 1442.35380
Kumar, Dharmendra; Kumar, Sachin
2019
Numerical solution of two dimensional reaction-diffusion equation using operational matrix method based on Genocchi polynomial. I: Genocchi polynomial and operational matrix. Zbl 1463.35502
Kumar, Sachin; Pandey, Prashant; Das, Subir; Craciun, E.-M.
2019
Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey. Zbl 1448.92213
Kumar, Sachin; Kharbanda, Harsha
2019
Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations. Zbl 1438.35433
Kumar, Sachin; Pandey, Prashant; Das, Subir
2019
Asymptotic stability of one prey and two predators model with two functional responses. Zbl 1430.92070
Kharbanda, Harsha; Kumar, Sachin
2019
Localizing gradient damage model with micro inertia effect for dynamic fracture. Zbl 1441.74218
Wang, Zhao; Shedbale, Amit Subhash; Kumar, Sachin; Poh, Leong Hien
2019
Nilpotent charges in an interacting gauge theory and an $$\mathcal{N} = 2$$ SUSY quantum mechanical model: (anti-)chiral superfield approach. Zbl 1471.81068
Chauhan, B.; Kumar, S.; Malik, R. P.
2019
Symmetry analysis and invariant solutions of $$(3 + 1)$$-dimensional Kadomtsev-Petviashvili equation. Zbl 1394.35015
2018
(Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: a couple of relativistic toy models as examples. Zbl 1396.81202
Kumar, S.; Chauhan, B.; Malik, R. P.
2018
Lie symmetry analysis and invariant solutions of $$(3+1)$$-dimensional Calogero-Bogoyavlenskii-Schiff equation. Zbl 1398.37062
2018
(anti-)chiral superfield approach to interacting abelian 1-form gauge theories: nilpotent and absolutely anticommuting charges. Zbl 1382.81138
Chauhan, B.; Kumar, S.; Malik, R. P.
2018
Existence and uniqueness results for three-point nonlinear fractional (arbitrary order) boundary value problem. Zbl 1488.34135
Kumar, Sachin; Vats, Ramesh Kumar; Nashine, Hemant Kumar
2018
Solvable models of an open well and a bottomless barrier: one-dimensional exponential potentials. Zbl 1390.81136
Ahmed, Zafar; Ghosh, Dona; Kumar, Sachin; Turumella, Nihar
2018
Symmetry analysis and some new exact solutions of Born-Infeld equation. Zbl 1407.35010
2018
Invariant solutions of Biswas-Milovic equation. Zbl 1372.37116
Kumar, Sachin
2017
Dirichlet spectra of the paradigm model of complex PT-symmetric potential: $$V(x)=-(ix)^N$$. Zbl 1373.81237
Ahmed, Zafar; Kumar, Sachin; Sharma, Dhruv
2017
Painlevé analysis and invariant solutions of Vakhnenko-Parkes (VP) equation with power law nonlinearity. Zbl 1355.35007
Kumar, Sachin
2016
Revisiting double Dirac delta potential. Zbl 1344.81066
Ahmed, Zafar; Kumar, Sachin; Sharma, Mayank; Sharma, Vibhu
2016
Complete flux scheme for conservation laws containing a linear source. Zbl 1352.65434
ten Thije Boonkkamp, J. H. M.; Rathish Kumar, B. V.; Kumar, S.; Pargaei, M.
2016
Modeling and simulation of kinked cracks by virtual node XFEM. Zbl 1423.74834
Kumar, Sachin; Singh, I. V.; Mishra, B. K.; Rabczuk, Timon
2015
Solitons and other solutions of the long-short wave equation. Zbl 1356.35215
Ebadi, Ghodrat; Mojaver, Aida; Kumar, Sachin; Biswas, Anjan
2015
Effective gravitational mass of the Ayón-Beato and García metric. Zbl 1320.83028
Sinha, A. K.; Pandey, G. K.; Bhaskar, A. K.; Rai, B. C.; Jha, A. K.; Kumar, S.
2015
Generalized invariant solutions for spherical symmetric non-conformally flat fluid distributions of embedding class one. Zbl 1307.83027
Kumar, Sachin; Gupta, Y. K.
2014
Distributions of off-diagonal scattering matrix elements: Exact results. Zbl 1342.81648
Nock, A.; Kumar, S.; Sommers, H.-J.; Guhr, T.
2014
Bessel functions associated with Saigo-Maeda fractional derivative operators. Zbl 07444546
Agarwal, Praveen; Jain, Shilpi; Chand, M.; Dwivedi, A. K.; Kumar, S.
2014
Flow past a rotationally oscillating cylinder. Zbl 1294.76027
Kumar, S.; Lopez, C.; Probst, O.; Francisco, G.; Askari, D.; Yang, Y.
2013
Inferential statistics on the dynamic system model with time-dependent failure-rate. Zbl 1348.62085
Singh, Bhupendra; Rathi, Shubhi; Kumar, Sachin
2013
Wavelet based numerical scheme for differential equations. Zbl 1283.65070
Dhawan, S.; Arora, Sangeeta; Kumar, S.
2013
Painlevé analysis, Lie symmetries and exact solutions for $$(2+1)$$-dimensional variable coefficients Broer-Kaup equations. Zbl 1245.35096
Kumar, Sachin; Singh, K.; Gupta, R. K.
2012
Solitons and other nonlinear waves of the Boussinesq equation. Zbl 1268.35023
Krishnan, E. V.; Kumar, Sachin; Biswas, Anjan
2012
On ‘useful’ R-norm relative information and J-divergence measures. Zbl 1258.94031
Kumar, S.; Ram, G.; Gupta, V.
2012
Fuzzy optimization of primal-dual pair using piecewise linear membership functions. Zbl 1289.90273
Pandey, D.; Kumar, S.
2012
Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis. Zbl 1211.35246
Singh, K.; Gupta, R. K.; Kumar, Sachin
2011
Fixed point theorems in complete $$G$$-metric space. Zbl 1237.54064
Vats, R. K.; Kumar, S.; Sihag, V.
2011
Charged analogues of Henning Knutsen type solutions in general relativity. Zbl 1242.83021
Gupta, Y. K.; Kumar, Sachin; Pratibha
2011
Exact solutions of $$b$$-family equation: classical Lie approach and direct method. Zbl 1235.35256
Singh, K.; Gupta, R. K.; Kumar, Sachin
2011
A new class of relativistic perfect fluid cylinders with expansion proportional to shear scalar. Zbl 1213.83047
Gupta, Y. K.; Kumar, Sachin; Pratibha
2011
The instability of streaming Walters’ (model B’) fluids in porous medium in hydromagnetics. Zbl 1431.76126
Kumar, S.
2011
Invariant solutions of Einstein field equation for nonconformally flat fluid spheres of embedding class one. Zbl 1194.83049
Kumar, Sachin; Gupta, Pratibha; Gupta, Y. K.
2010
Some nonconformal accelerating perfect fluid plates of embedding class 1 using similarity transformations. Zbl 1193.83027
Gupta, Y. K.; Pratibha; Kumar, Sachin
2010
Oscillatory MHD flow of blood through an artery with mild stenosis. Zbl 1357.76101
Kumar, S.; Kumar, S.; Kumar, D.
2009
Some static and non-static cylindrical symmetric perfect fluid distributions in general relativity. Zbl 1225.83022
Kumar, Sachin; Gupta, Y. K.; Sharma, J. R.
2009
Deadlock-free scheduling of an automated manufacturing system using an enhanced colored time resource Petri-net model-based evolutionary endosymbiotic learning automata approach. Zbl 1147.90343
Dashora, Y.; Kumar, S.; Tiwari, M. K.; Newman, S. T.
2007
Kernel distance-based robust support vector method and its application in developing a robust K-chart. Zbl 1095.62137
Kumar, S.; Choudhary, A. K.; Kumar, M.; Shankar, R.; Tiwari, M. K.
2006
Expert enhanced coloured stochastic Petri net and its application in assembly/disassembly. Zbl 1052.90522
Kumar, S.; Kumar, R.; Shankar, R.; Tiwari, M. K.
2003
Extraction of cube root of a real number. Zbl 1243.65036
Kumar, Sachin; Agarwal, Ashok Kumar
2003
The late-time development of the Richtmyer-Meshkov instability. Zbl 1184.76434
Prasad, J. K.; Rasheed, A.; Kumar, S.; Sturtevant, B.
2000
Contributions to hardware and software reliability. Zbl 0979.68005
Kapur, P. K.; Garg, R. B.; Kumar, S.
1999
A feature recognition methodology for extrudable product shapes. Zbl 0949.90557
Kumar, S.; Shanker, K.; Lal, G. K.
1999
Critical path problem under assignment constraint - an application of an extreme point mathematical programming problem. Zbl 0462.90043
Chandrasekaran, R.; Kumar, S.; Wagner, D.
1980
Hydromagnetic convective instability of a rotating, self-gravitating fluid sphere containing a uniform distribution of heat sources. Zbl 0392.76040
Eltayeb, I. A.; Kumar, S.
1977
Maximum reliability route subject to k-improvements in a directed network. Zbl 0356.94034
Bansal, S. P.; Kumar, S.
1977
Shortest route subject to improvements through dynamic programming. Zbl 0232.90061
Bansal, S. P.; Kumar, S.
1972
Shortest route subject to improvements through dynamic programming. Zbl 0242.90014
Bansal, S. P.; Kumar, S.
1972
On the solution of the Navier-Stokes equations for a spherically symmetric expanding flow. Zbl 0251.76049
Freeman, N. C.; Kumar, S.
1972
Stochastic behaviour of a complex system under priority repair. Zbl 0217.27003
Govil, A. K.; Kumar, S.
1970
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### Cited by 338 Authors

 23 Kumar, Sachin 8 Gupta, Rajesh Kumar 7 Wang, Gangwei 6 Gupta, Y. K. 5 Biswas, Anjan 5 Chu, Yuming 5 Jadaun, Vishakha 5 Rashid, Saima 4 Feng, Shizhe 4 Kumar, Dharmendra 4 Li, Zhixiong 4 Xu, Tianzhou 3 Incecik, Atilla 3 Karaca, Yeliz 3 Maurya, Sunil Kumar 2 Abdeljawad, Thabet 2 Ahmed, Zafar 2 Ali, Mohamed Reda 2 Băleanu, Dumitru I. 2 Cao, Jinde 2 Ghosh, Dona 2 Gupta, Puneet Kumar 2 Hammouch, Zakia 2 Han, Tianyong 2 Inc, Mustafa 2 Kaur, Lakhveer 2 Khalique, Chaudry Masood 2 Krishnan, Edamana Vasudevan 2 Królczyk, Grzegorz 2 Kumar, Avneesh 2 Kumar, Mukesh 2 Kumar, Raj 2 Li, Zhao 2 Liu, Xiqiang 2 Luc, Nguyen Hoang 2 Marin, Marin I. 2 Mirzazadeh, Mohammad 2 Pratibha 2 Pronko, Andrei G. 2 Sadat, Rahma 2 Singh, Nitin Raja 2 Singla, Komal 2 Tanwar, Dig Vijay 2 Vijayakumar, Velusamy 2 Vlase, Sorin 2 Xie, Xi-Yang 2 Xin, Xiangpeng 2 Yang, Hongwei 2 Zeb, Anwar 2 Zeidan, Dia 2 Zhang, Yingyuan 1 Abdel-Aty, Abdel-Haleem 1 Abdel-Aty, Mahmoud 1 Acevedo, Y. 1 Adel, Waleed 1 Agarwal, Praveen 1 Agarwal, Ravi P. 1 Ahmad, Fayyaz 1 Ahmad, Israr 1 Ai, Guo-Ping 1 Akinyemi, Lanre 1 Ali Akbar, M. 1 Ali, Gauhar 1 Ali, Karmina K. 1 Ali, Md. Emran 1 Alipour, Mohsen 1 Aliyu, Aliyu Isa 1 Almusawa, Hassan 1 Almutairi, Ohud 1 Alqurashi, Maysaa M. 1 Aly, Ayman A. 1 Alzahrani, Ebraheem O. 1 Anco, Stephen C. 1 Arnous, Ahmed H. 1 Arora, Rajan 1 Ashraf, Rehana 1 Atangana, Abdon 1 Athar, Muhammad 1 Ba, Huijing 1 Bai, Yuzhen 1 Bakhshandeh-Chamazkoti, Rohollah 1 Baran, Hynek 1 Bayesteh, H. 1 Behrend, Roger E. 1 Benoudina, Nardjess 1 Bentout, Soufiane 1 Bhatia, Satwinder Singh 1 Boudjerida, Assia 1 Bui, Tinh Quoc 1 Bulut, Hasan 1 Can, Nguyen Huu 1 Chalco-Cano, Yurilev 1 Chauhan, Astha 1 Chen, Junwei 1 Chen, Shubo 1 Chen, Tao 1 Chen, Yaming 1 Cheng, Jinfa 1 Choudhury, Sudipto Roy 1 Colomo, Filippo ...and 238 more Authors
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### Cited in 68 Serials

 16 Nonlinear Dynamics 10 Communications in Nonlinear Science and Numerical Simulation 10 Advances in Difference Equations 9 Mathematics and Computers in Simulation 7 Computer Methods in Applied Mechanics and Engineering 7 International Journal of Applied and Computational Mathematics 5 Fractals 5 Advances in Mathematical Physics 4 Applicable Analysis 4 International Journal of Theoretical Physics 4 Applied Mathematics and Computation 4 Abstract and Applied Analysis 4 International Journal of Geometric Methods in Modern Physics 4 International Journal of Biomathematics 3 Computers & Mathematics with Applications 3 Physica A 3 Chaos, Solitons and Fractals 3 Computational and Applied Mathematics 3 Qualitative Theory of Dynamical Systems 3 Nonlinear Analysis. Modelling and Control 3 Boundary Value Problems 3 AIMS Mathematics 2 European Journal of Physics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Complexity 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Function Spaces 1 International Journal of Modern Physics A 1 Acta Mechanica 1 Astrophysics and Space Science 1 Computers and Fluids 1 Nuclear Physics. B 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 International Journal for Numerical Methods in Engineering 1 Matematički Vesnik 1 Ricerche di Matematica 1 Applied Numerical Mathematics 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 International Journal of Modern Physics D 1 Journal of Mathematical Sciences (New York) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Turkish Journal of Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Journal of Biological Systems 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Waves in Random and Complex Media 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Theoretical Physics 1 Journal of Nonlinear Science and Applications 1 Revista Integración 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation 1 East Asian Journal on Applied Mathematics 1 Nonautonomous Dynamical Systems 1 Open Mathematics 1 Cogent Mathematics 1 Cogent Mathematics & Statistics
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### Cited in 34 Fields

 104 Partial differential equations (35-XX) 24 Numerical analysis (65-XX) 24 Fluid mechanics (76-XX) 22 Real functions (26-XX) 19 Ordinary differential equations (34-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Mechanics of deformable solids (74-XX) 16 Biology and other natural sciences (92-XX) 11 Relativity and gravitational theory (83-XX) 7 Topological groups, Lie groups (22-XX) 7 Quantum theory (81-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Optics, electromagnetic theory (78-XX) 4 Special functions (33-XX) 4 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)