Edit Profile (opens in new tab) Kara, Abdul Hamid Compute Distance To: Compute Author ID: kara.abdul-hamid Published as: Kara, A. H.; Kara, Abdul H.; Kara, Abdul Hamid; Kara, Abdul Documents Indexed: 147 Publications since 1992 Co-Authors: 89 Co-Authors with 127 Joint Publications 1,635 Co-Co-Authors all top 5 Co-Authors 9 single-authored 27 Biswas, Anjan 27 Mahomed, Fazal M. 26 Bokhari, Ashfaque H. 24 Zaman, Fiazud Din 13 Wang, Gangwei 10 Belić, Milivoj R. 9 Johnpillai, Andrew Gratien 7 Ekici, Mehmet 7 Folly-Gbetoula, Mensah K. 7 Hayat, Tasawar 6 Fakhar, Kamran 4 Al-Dweik, Ahmad Y. 4 Shabbir, Ghulam 4 Vega-Guzmán, José M. 4 Zhou, Qin 3 Adam, Abdul Aziz 3 Al-Ali, Usamah S. 3 Aljohani, Abdulrahman F. 3 Alqurashi, Bader Mutair 3 Alzahrani, Abdullah Kamis 3 Asghar, Saleem 3 Bashingwa, Jean Juste Harrisson 3 Davison, Alexander H. 3 Leach, Peter Gavin Lawrence 3 Momoniat, Ebrahim 3 Sönmezoğlu, Abdullah 3 Yıldırım, Yakup 3 Zayed, Elsayed M. E. 2 Ahmad, Ferhana 2 Ak, Turgut 2 Alshehri, Hashim M. 2 Alzahrani, Abdullah Khamis Hassan 2 Bansal, Anupma 2 Gadjagboui, B. B. I. 2 Hussain, Qamar 2 Karim, Munawar 2 Kashif, Abdul Rehman 2 Khan Marwat, D. N. 2 Masemola, P. 2 Mirzazadeh, Mohammad 2 Moshokoa, Seithuti Philemon 2 Ramzan, Muhammad Babar 2 Razborova, Polina 2 Triki, Houria 1 Abdulwahab, M. 1 Ahmad, Aijaz 1 Akça, Haydar 1 Alngar, Mohamed E. M. 1 Amer Qureshi, M. 1 Anco, Stephen C. 1 Arnous, Ahmed H. 1 Asma, Mir 1 Aydemir, Tugba 1 Beesham, Aroonkumar 1 Bluman, George W. 1 Buhe, Eerdun 1 Camci, Uḡur 1 Ebadi, Ghodrat 1 El-Horbaty, Mahmoud M. 1 Eslami, Mostafa 1 Feroze, Tooba 1 Gu, Haicheng 1 Guan, Fei 1 Guggilla, Padmaja 1 Hussain, Fiaz 1 Ibragimov, Nail Hairullovich 1 Khan, Alamgeer 1 Khan, Ilyas 1 Khan, Salam 1 Majid, Fayequa B. 1 Mamba, S. 1 Milovic, Daniela M. 1 Mnguni, Nkosingiphile 1 Mushtaq, Muhammad Umer 1 Naeem, Imran 1 Ndlovu, L. 1 Osman, Mohammed S. 1 Petković, Marko D. 1 Phidane, T. 1 Qadir, Asghar 1 Qu, Changzeng 1 Qu, Changzheng 1 Raza, Ali 1 Sajid, Muhammad 1 Saqib, Muhammad 1 Savescu, Michelle 1 Vawda, F. E. 1 Wafo Soh, Célestin 1 Yang, Kaitong all top 5 Serials 16 Nonlinear Dynamics 13 International Journal of Theoretical Physics 9 Applied Mathematics and Computation 8 Physics Letters. A 7 International Journal of Non-Linear Mechanics 7 Journal of Mathematical Analysis and Applications 6 Chaos, Solitons and Fractals 4 International Journal of Geometric Methods in Modern Physics 3 Modern Physics Letters A 3 Mathematical Methods in the Applied Sciences 3 Quaestiones Mathematicae 3 Mathematical & Computational Applications 3 Lie Groups and their Applications 3 Journal of Nonlinear Mathematical Physics 3 Nonlinear Analysis. Real World Applications 3 Journal of Applied Mathematics 3 Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Journal of Physics A: Mathematical and General 2 Journal of Difference Equations and Applications 2 Regular and Chaotic Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Communications in Theoretical Physics 2 Journal of Applied Analysis and Computation 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 General Relativity and Gravitation 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Nuclear Physics. B 1 Collectanea Mathematica 1 Journal of Computational and Applied Mathematics 1 European Journal of Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Journal of Partial Differential Equations 1 International Journal of Computational Fluid Dynamics 1 Abstract and Applied Analysis 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Acta Physica Polonica B 1 Journal of Analysis and Applications 1 Advances in Difference Equations 1 Waves in Random and Complex Media 1 Journal of Physics A: Mathematical and Theoretical 1 Applied Mathematics & Information Sciences 1 Advances and Applications in Discrete Mathematics 1 International Journal of Biomathematics 1 Advances in Differential Equations and Control Processes 1 Advances in Mathematical Physics all top 5 Fields 92 Partial differential equations (35-XX) 23 Dynamical systems and ergodic theory (37-XX) 20 Fluid mechanics (76-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Mechanics of particles and systems (70-XX) 14 Ordinary differential equations (34-XX) 14 Relativity and gravitational theory (83-XX) 7 Difference and functional equations (39-XX) 7 Optics, electromagnetic theory (78-XX) 6 Topological groups, Lie groups (22-XX) 6 Quantum theory (81-XX) 5 Differential geometry (53-XX) 5 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Information and communication theory, circuits (94-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 1,056 times in 618 Documents Cited by ▼ Year ▼ Relationship between symmetries and conservation laws. Zbl 0962.35009Kara, A. H.; Mahomed, F. M. 120 2000 Noether-type symmetries and conservation laws via partial Lagrangians. Zbl 1121.70014Kara, A. H.; Mahomed, F. M. 99 2006 A basis of conservation laws for partial differential equations. Zbl 1362.35024Kara, A. H.; Mahomed, F. M. 47 2002 Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M. 42 1998 Additional conservation laws for Rosenau-KdV-RLW equation with power law nonlinearity by Lie symmetry. Zbl 1331.35023Razborova, Polina; Kara, Abdul H.; Biswas, Anjan 32 2015 Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation. Zbl 1348.35298Wang, Gangwei; Kara, A. H.; Fakhar, K. 27 2015 Partial Noether operators and first integrals via partial Lagrangians. Zbl 1130.70012Kara, A. H.; Mahomed, F. M.; Naeem, I.; Wafo Soh, C. 25 2007 Exact flow of a third-grade fluid on a porous wall. Zbl 1348.76016Hayat, T.; Kara, A. H.; Momoniat, E. 25 2003 Couette flow of a third-grade fluid with variable magnetic field. Zbl 1105.76007Hayat, T.; Kara, A. H. 23 2006 Generalization of the double reduction theory. Zbl 1201.35014Bokhari, Ashfaque H.; Al-Dweik, Ahmad Y.; Zaman, F. D.; Kara, A. H.; Mahomed, F. M. 23 2010 Approximate symmetries and conservation laws with applications. Zbl 0989.37076Kara, A. H.; Mahomed, F. M.; Ünal, G. 19 1999 Lie and Noether counting theorems for one-dimensional systems. Zbl 0783.34002Mahomed, F. M.; Kara, A. H.; Leach, P. G. L. 19 1993 Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities. Zbl 1281.35069Biswas, Anjan; Kara, Abdul H.; Bokhari, Ashfaque H.; Zaman, F. D. 18 2013 Double reduction of a nonlinear \((2+1)\) wave equation via conservation laws. Zbl 1221.35244Bokhari, Ashfaque H.; Al-Dweik, Ahmad Y.; Kara, A. H.; Mahomed, F. M.; Zaman, F. D. 17 2011 Noether versus Killing symmetry of conformally flat Friedmann metric. Zbl 1136.83010Bokhari, Ashfaque H.; Kara, A. H. 17 2007 Noether symmetries versus Killing vectors and isometries of spacetimes. Zbl 1125.83305Bokhari, A. H.; Kara, A. H.; Kashif, A. R.; Zaman, F. D. 16 2006 Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation. Zbl 1360.35232Wang, Gangwei; Kara, Abdul H.; Fakhar, Kamran; Vega-Guzman, Jose; Biswas, Anjan 16 2016 Approximate symmetries and conservation laws of the geodesic equations for the Schwarzschild metric. Zbl 1173.83007Kara, A. H.; Mahomed, F. M.; Qadir, Asghar 14 2008 Symmetry solutions and reductions of a class of generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation. Zbl 1401.35270Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan 14 2011 A note on a symmetry analysis and exact solutions of a nonlinear fin equation. Zbl 1143.35311Bokhari, A. H.; Kara, A. H.; Zaman, F. D. 14 2006 Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equation. Zbl 1257.35151Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan 14 2013 Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity. Zbl 1298.35164Morris, Richard; Kara, Abdul Hamid; Biswas, Anjan 13 2013 Symmetry-invariant conservation laws of partial differential equations. Zbl 1391.35021Anco, Stephen C.; Kara, Abdul H. 13 2018 Group theoretic methods for approximate invariants and Lagrangians for some classes of \(y^{\prime\prime} + F(t)y^{\prime}+y=f(y,y^{\prime})\). Zbl 1116.34318Feroze, T.; Kara, A. H. 13 2002 Nonlinear evolution-type equations and their exact solutions using inverse variational methods. Zbl 1069.37047Kara, A. H.; Khalique, C. M. 13 2005 A variational analysis of a non-Newtonian flow in a rotating system. Zbl 1131.76007Hayat, T.; Kara, A. H. 12 2006 Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter. Zbl 1158.35306Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 12 2009 Variational formulation of approximate symmetries and conservation laws. Zbl 1006.81035Johnpillai, A. G.; Kara, A. H. 11 2001 Nonlocal symmetry analysis, explicit solutions and conservation laws for the fourth-order Burgers’ equation. Zbl 1355.35154Wang, Gangwei; Kara, A. H. 11 2015 A symmetry invariance analysis of the multipliers & conservation laws of the Jaulent-Miodek and some families of systems of KdV type equations. Zbl 1362.35266Kara, A. H. 11 2009 The unsteady flow of a fourth-grade fluid past a porous plate. Zbl 1080.76006Hayat, T.; Kara, A. H.; Momoniat, E. 10 2005 Optical solitons with complex Ginzburg-Landau equation. Zbl 1349.35364Mirzazadeh, Mohammad; Ekici, Mehmet; Sonmezoglu, Abdullah; Eslami, Mostafa; Zhou, Qin; Kara, Abdul H.; Milovic, Daniela; Majid, Fayequa B.; Biswas, Anjan; Belić, Milivoj 10 2016 Equivalent Lagrangians and the solution of some classes of non-linear equations \(\ddot q + p(t)\dot q + r(t)q = \mu \dot q^ 2 q^{-1} + f(t)q^ n\). Zbl 0760.34011Kara, A. H.; Mahomed, F. M. 9 1992 A basis of approximate conservation laws for PDEs with a small parameter. Zbl 1160.35318Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 9 2006 Symmetries of first integrals and solutions of differential equations. Zbl 0920.35010Kara, A. H.; Vawda, F. E.; Mahomed, F. M. 8 1994 Approximate potential symmetries for partial differential equations. Zbl 0965.35025Kara, A. H.; Mahomed, F. M.; Qu, Changzheng 8 2000 1-soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation. Zbl 1200.35250Biswas, Anjan; Kara, A. H. 8 2010 Symmetries, conservation laws, and ‘integrability’ of difference equations. Zbl 1417.39012Folly-Gbetoula, Mensah K.; Kara, Abdul H. 8 2014 A note on the solutions of the Emden-Fowler equation. Zbl 0786.34001Kara, A. H.; Mahomed, F. M. 7 1993 1-soliton solution and conservation laws for the Jaulent-Miodek equation with power law nonlinearity. Zbl 1201.65181Biswas, Anjan; Kara, A. H. 7 2010 Travelling wave solutions to Stokes’ problem for a fourth grade fluid. Zbl 1168.35417Hayat, T.; Kara, A. H.; Momoniat, E. 7 2009 Symmetries, conservation laws and multipliers via partial Lagrangians and Noether’s theorem for classically non-variational problems. Zbl 1133.70008Khan Marwat, D. N.; Kara, A. H.; Mahomed, F. M. 7 2007 An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws. Zbl 1334.35290Morris, R. M.; Kara, A. H.; Biswas, Anjan 7 2016 Reduction of differential equations using Lie and Noether symmetries associated with first integrals. Zbl 0938.35505Kara, A. H.; Mahomed, F. M.; Adam, A. A. 6 1994 Noether equivalence problem for particle Lagrangians. Zbl 0814.70010Kara, A. H.; Mahomed, F. M.; Leach, P. G. L. 6 1994 1-soliton solution and conservation laws for nonlinear wave equation in semiconductors. Zbl 1205.82138Biswas, Anjan; Kara, A. H. 6 2010 Invariance analysis and variational conservation laws for the wave equation on some manifolds. Zbl 1174.83001Bokhari, Ashfaque H.; Kara, A. H.; Karim, M.; Zaman, F. D. 6 2009 Symmetry classifications and reductions of some classes of \((2+1)\)-nonlinear heat equation. Zbl 1132.35044Ahmad, A.; Bokhari, Ashfaque H.; Kara, A. H.; Zaman, F. D. 6 2008 Wave equation on spherically symmetric Lorentzian metrics. Zbl 1317.58030Bokhari, Ashfaque H.; Al-Dweik, Ahmad Y.; Kara, A. H.; Karim, M.; Zaman, F. D. 6 2011 Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method. Zbl 1331.35019Buhe, Eerdun; Bluman, G.; Kara, A. H. 6 2016 New higher-order conservation laws of some classes of wave and Gordon-type equations. Zbl 1242.35162Jamal, S.; Kara, A. H. 5 2012 Classification of static spherically symmetric spacetimes by Noether symmetries. Zbl 1274.83036Bokhari, Ashfaque H.; Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M.; Zaman, F. D. 5 2013 Conservation laws for highly dispersive optical solitons in birefringent fibers. Zbl 1433.78019Biswas, Anjan; Kara, Abdul H.; Zhou, Qin; Alzahrani, Abdullah Kamis; Belic, Milivoj R. 5 2020 Nonlocal symmetry analysis and conservation laws to an third-order Burgers equation. Zbl 1353.35240Wang, Gangwei; Kara, A. H.; Fakhar, K. 5 2016 Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas-Lenells equation. Zbl 1415.35009Bansal, Anupma; Kara, A. H.; Biswas, Anjan; Moshokoa, Seithuti P.; Belic, Milivoj 5 2018 Nonclassical potential symmetry generators of differential equations. Zbl 1013.35071Johnpillai, A. G.; Kara, A. H. 5 2002 Solitary wave solutions to some classes of nonlinear evolution type equations using inverse variational methods. Zbl 1120.35030Kara, A. H. 5 2007 On the symmetry structures of the Minkowski metric and a Weyl re-scaled metric. Zbl 1128.83006Bokhari, Ashfaque H.; Kara, A. H.; Kashif, A. R.; Zaman, F. D. 4 2007 Conservation laws of a nonlinear \((1+1)\) wave equation. Zbl 1194.35272Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 4 2010 Soliton solutions and conservation laws of the Gilson-Pickering equation. Zbl 1274.35309Ebadi, Ghodrat; Kara, A. H.; Petković, Marko D.; Biswas, Anjan 4 2011 (2 + 1)-dimensional Boiti-Leon-Pempinelli equation – domain walls, invariance properties and conservation laws. Zbl 1448.76045Wang, Gangwei; Vega-Guzman, Jose; Biswas, Anjan; Kamis Alzahrani, Abdullah; Kara, A. H. 4 2020 A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions. Zbl 1473.81059Wang, Gangwei; Yang, Kaitong; Gu, Haicheng; Guan, Fei; Kara, A. H. 4 2020 Conservation laws and associated symmetries for some classes of soil water motion equations. Zbl 1345.76100Kara, A. H.; Khalique, C. M. 4 2001 Potential symmetries and associated conservation laws with application to wave equations. Zbl 1047.35009Davison, A. H.; Kara, A. H. 4 2003 Group analysis, fractional explicit solutions and conservation laws of time fractional generalized Burgers equation. Zbl 1387.35609Wang, Gang-Wei; Kara, A. H. 4 2018 Polynomial and rational wave solutions of Kudryashov-Sinelshchikov equation and numerical simulations for its dynamic motions. Zbl 1461.35084Ak, Turgut; Osman, Mohammed S.; Kara, Abdul Hamid 4 2020 Invariant solutions of certain nonlinear evolution type equations with small parameters. Zbl 1103.35045Bokhari, A. H.; Kara, A. H.; Zaman, F. D. 3 2006 New conservation laws of some third-order systems of PDEs arising from higher-order multipliers. Zbl 1202.35244Morris, R.; Kara, A. H. 3 2010 On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects. Zbl 1217.76085Fakhar, K.; Kara, A. H.; Khan, I.; Sajid, M. 3 2011 Exact solutions using symmetry methods and conservation laws for the viscous flow through expanding-contracting channels. Zbl 1167.76357Asghar, S.; Mushtaq, M.; Kara, A. H. 3 2008 Group analysis, nonlinear self-adjointness, conservation laws, and soliton solutions for the mKdV systems. Zbl 1421.35327Wang, Gangwei; Kara, Abdul H.; Vega-Guzman, Jose; Biswas, Anjan 3 2017 On the solutions and conservation laws of the model for tumor growth in the brain. Zbl 1168.35006Bokhari, A. H.; Kara, A. H.; Zaman, F. D. 3 2009 The Noether conservation laws of some Vaidiya metrics. Zbl 1186.83092Narain, R.; Kara, A. H. 3 2010 Wave equations in Bianchi space-times. Zbl 1267.35229Jamal, S.; Kara, A. H.; Narain, R. 3 2012 Invariances and conservation laws based on some FRW universes. Zbl 1305.83033Camci, U.; Jamal, S.; Kara, A. H. 3 2014 Solitons and conservation laws of coupled Ostrovsky equation for internal waves. Zbl 1338.35393Kara, A. H.; Razborova, Polina; Biswas, Anjan 3 2015 Soliton solutions and group analysis of a new coupled \((2+1)\)-dimensional Burgers equations. Zbl 1371.35261Wang, Gangwei; Fakhar, K.; Kara, A. H. 3 2015 Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation. Zbl 1374.37087Triki, Houria; Ak, Turgut; Ekici, Mehmet; Sonmezoglu, Abdullah; Mirzazadeh, Mohammad; Kara, Abdul Hamid; Aydemir, Tugba 3 2017 Equivalent Lagrangians and the inverse variational problem with applications. Zbl 1089.34514Kara, A. H. 2 2004 A non-variational approach to the construction of new ‘higher-order’ conservation laws of the family of nonlinear equations \(\alpha (u_{t} + 3uu_{x}) + \beta (u_{txx} + 2u_{x}u_{xx} + uu_{xxx}) - \gamma u_{xxx} = 0\). Zbl 1220.35150Kara, A. H.; Bokhari, Ashfaque H. 2 2011 An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov equations. Zbl 1419.35176Kara, A. H. 2 2010 On the redefinition of the variational and ‘partial’ variational conservation laws in a class of nonlinear PDEs with mixed derivatives. Zbl 1272.76185Narain, R.; Kara, A. H. 2 2010 A complete symmetry classification and reduction of some classes of the nonlinear \((1-2)\) wave equation. Zbl 1274.35008Ahmad, Aijaz; Bokhari, Ashfaque H.; Kara, Abdul Hamid; Zaman, F. D. 2 2010 Double reductions/analysis of the Drinfeld-Sokolov-Wilson equation. Zbl 1290.35230Morris, R.; Kara, A. H. 2 2013 Exact solutions of some general nonlinear wave equations in elasticity. Zbl 1180.74035Bokhari, A. H.; Kara, A. H.; Zaman, F. D. 2 2007 Exact solutions of thin film flows. Zbl 1193.76022Asghar, S.; Hayat, T.; Kara, A. H. 2 2007 A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws. Zbl 1479.37073Wang, Gangwei; Kara, A. H. 2 2019 Potential symmetry generators and associated conservation laws of perturbed nonlinear equations. Zbl 1055.65113Davison, A. H.; Kara, A. H. 2 2004 Conservation laws of the Bretherton equation. Zbl 1264.35141Kara, A. H.; Triki, Houria; Biswas, Anjan 2 2013 The geometry and invariance properties for certain classes of metrics with neutral signature. Zbl 1353.53071Bashingwa, Jean J. H.; Bokhari, Ashfaque H.; Kara, A. H.; Zaman, F. D. 2 2016 Invariance analysis and reduction of discrete Painlevé equations. Zbl 1358.39004Folly-Gbetoula, Mensah; Kara, A. H. 2 2016 Symmetry analysis and conservation laws of some third-order difference equations. Zbl 1384.39001Folly-Gbetoula, Mensah K.; Mamba, S.; Kara, A. H. 1 2018 New solutions to the Abel equation. Zbl 0921.34002Adam, A. A.; Mahomed, F. M.; Kara, A. H. 1 1994 Nonlocal symmetries and associated conservation laws for wave equations with variable speeds. Zbl 0965.35008Kara, A. H.; Qu, Changzeng 1 2000 Image processing and ‘noise removal algorithms’ – the PDEs and their invariance properties & conservation laws. Zbl 1393.94096Al Qurashi, B.; Kara, A. H.; Akca, H. 1 2018 Canonical forms for particle Lagrangians of the linear second-order equations. Zbl 0833.34008Adam, A. A.; Mahomed, F. M.; Kara, A. H. 1 1994 On the reduction of some dispersionless integrable systems. Zbl 1295.70009Kara, A. H. 1 2014 Solitons and conservation laws in neurosciences. Zbl 1298.74134Biswas, Anjan; Kara, Abdul H.; Savescu, Michelle; Bokhari, Ashfaque H.; Zaman, F. D. 1 2013 Conservation laws and associated Noether type vector fields via partial Lagrangians and Noether’s theorem for the Liang equation. Zbl 1163.70011Marwat, D. N. Khan; Kara, A. H.; Hayat, T. 1 2008 Conservation laws of high-order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives. Zbl 1186.35189Narain, R.; Kara, A. H. 1 2010 Cubic-quartic optical solitons and conservation laws with Kudryashov’s law of refractive index by extended trial function. Zbl 1480.78016Biswas, Anjan; Sonmezoglu, Abdullah; Ekici, Mehmet; Kara, Abdul Hamid; Alzahrani, Abdullah Kamis; Belic, Milivoj R. 1 2021 Conservation laws for highly dispersive optical solitons in birefringent fibers. Zbl 1433.78019Biswas, Anjan; Kara, Abdul H.; Zhou, Qin; Alzahrani, Abdullah Kamis; Belic, Milivoj R. 5 2020 (2 + 1)-dimensional Boiti-Leon-Pempinelli equation – domain walls, invariance properties and conservation laws. Zbl 1448.76045Wang, Gangwei; Vega-Guzman, Jose; Biswas, Anjan; Kamis Alzahrani, Abdullah; Kara, A. H. 4 2020 A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions. Zbl 1473.81059Wang, Gangwei; Yang, Kaitong; Gu, Haicheng; Guan, Fei; Kara, A. H. 4 2020 Polynomial and rational wave solutions of Kudryashov-Sinelshchikov equation and numerical simulations for its dynamic motions. Zbl 1461.35084Ak, Turgut; Osman, Mohammed S.; Kara, Abdul Hamid 4 2020 Cubic-quartic optical soliton perturbation and conservation laws with Kudryashov’s law of refractive index. Zbl 1448.78049Yıldırım, Yakup; Biswas, Anjan; Kara, Abdul H.; Ekici, Mehmet; Zayed, Elsayed M. E.; Alzahrani, Abdullah Khamis; Belic, Milivoj R. 1 2020 A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws. Zbl 1479.37073Wang, Gangwei; Kara, A. H. 2 2019 Optical solitons and conservation laws with polarization-mode dispersion for coupled Fokas-Lenells equation using group invariance. Zbl 1448.35080Bansal, Anupma; Kara, Abdul H.; Biswas, Anjan; Khan, Salam; Zhou, Qin; Moshokoa, Seithuti P. 1 2019 A note on some perfect fluid Kantowski-Sachs and Bianchi type III spacetimes and their conformal vector fields in \(f(R)\) theory of gravity. Zbl 1411.83096Shabbir, Ghulam; Hussain, Fiaz; Kara, A. H.; Ramzan, Muhammad 1 2019 Symmetry-invariant conservation laws of partial differential equations. Zbl 1391.35021Anco, Stephen C.; Kara, Abdul H. 13 2018 Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas-Lenells equation. Zbl 1415.35009Bansal, Anupma; Kara, A. H.; Biswas, Anjan; Moshokoa, Seithuti P.; Belic, Milivoj 5 2018 Group analysis, fractional explicit solutions and conservation laws of time fractional generalized Burgers equation. Zbl 1387.35609Wang, Gang-Wei; Kara, A. H. 4 2018 Symmetry analysis and conservation laws of some third-order difference equations. Zbl 1384.39001Folly-Gbetoula, Mensah K.; Mamba, S.; Kara, A. H. 1 2018 Image processing and ‘noise removal algorithms’ – the PDEs and their invariance properties & conservation laws. Zbl 1393.94096Al Qurashi, B.; Kara, A. H.; Akca, H. 1 2018 Group analysis, nonlinear self-adjointness, conservation laws, and soliton solutions for the mKdV systems. Zbl 1421.35327Wang, Gangwei; Kara, Abdul H.; Vega-Guzman, Jose; Biswas, Anjan 3 2017 Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation. Zbl 1374.37087Triki, Houria; Ak, Turgut; Ekici, Mehmet; Sonmezoglu, Abdullah; Mirzazadeh, Mohammad; Kara, Abdul Hamid; Aydemir, Tugba 3 2017 On the symmetries and conservation laws of the multidimensional nonlinear damped wave equations. Zbl 1400.35012Al-Ali, Usamah S.; Bokhari, Ashfaque H.; Kara, A. H.; Zaman, F. D. 1 2017 Classification of variational conservation laws of general plane symmetric spacetimes. Zbl 1377.83014Al-Ali, Usamah S.; Bokhari, Ashfaque H.; Kara, A. H.; Shabbir, Ghulam 1 2017 The invariance, conservation laws and integration of some higher-order difference equations. Zbl 1371.39007Folly-Gbetoula, M.; Kara, A. H. 1 2017 Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation. Zbl 1360.35232Wang, Gangwei; Kara, Abdul H.; Fakhar, Kamran; Vega-Guzman, Jose; Biswas, Anjan 16 2016 Optical solitons with complex Ginzburg-Landau equation. Zbl 1349.35364Mirzazadeh, Mohammad; Ekici, Mehmet; Sonmezoglu, Abdullah; Eslami, Mostafa; Zhou, Qin; Kara, Abdul H.; Milovic, Daniela; Majid, Fayequa B.; Biswas, Anjan; Belić, Milivoj 10 2016 An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws. Zbl 1334.35290Morris, R. M.; Kara, A. H.; Biswas, Anjan 7 2016 Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method. Zbl 1331.35019Buhe, Eerdun; Bluman, G.; Kara, A. H. 6 2016 Nonlocal symmetry analysis and conservation laws to an third-order Burgers equation. Zbl 1353.35240Wang, Gangwei; Kara, A. H.; Fakhar, K. 5 2016 The geometry and invariance properties for certain classes of metrics with neutral signature. Zbl 1353.53071Bashingwa, Jean J. H.; Bokhari, Ashfaque H.; Kara, A. H.; Zaman, F. D. 2 2016 Invariance analysis and reduction of discrete Painlevé equations. Zbl 1358.39004Folly-Gbetoula, Mensah; Kara, A. H. 2 2016 A note on classification of teleparallel conformal symmetries in non-static plane symmetric space-times in the teleparallel theory of gravitation using diagonal tetrads. Zbl 1339.83064Shabbir, Ghulam; Khan, Alamgeer; Amer Qureshi, M.; Kara, A. H. 1 2016 Additional conservation laws for Rosenau-KdV-RLW equation with power law nonlinearity by Lie symmetry. Zbl 1331.35023Razborova, Polina; Kara, Abdul H.; Biswas, Anjan 32 2015 Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation. Zbl 1348.35298Wang, Gangwei; Kara, A. H.; Fakhar, K. 27 2015 Nonlocal symmetry analysis, explicit solutions and conservation laws for the fourth-order Burgers’ equation. Zbl 1355.35154Wang, Gangwei; Kara, A. H. 11 2015 Solitons and conservation laws of coupled Ostrovsky equation for internal waves. Zbl 1338.35393Kara, A. H.; Razborova, Polina; Biswas, Anjan 3 2015 Soliton solutions and group analysis of a new coupled \((2+1)\)-dimensional Burgers equations. Zbl 1371.35261Wang, Gangwei; Fakhar, K.; Kara, A. H. 3 2015 Conservation laws, multipliers, adjoint equations and Lagrangians for Jaulent-Miodek and some families of systems of KdV type equations. Zbl 1347.37118Wang, Gangwei; Kara, A. H. 1 2015 Symmetries, conservation laws, and ‘integrability’ of difference equations. Zbl 1417.39012Folly-Gbetoula, Mensah K.; Kara, Abdul H. 8 2014 Invariances and conservation laws based on some FRW universes. Zbl 1305.83033Camci, U.; Jamal, S.; Kara, A. H. 3 2014 On the reduction of some dispersionless integrable systems. Zbl 1295.70009Kara, A. H. 1 2014 Symmetries, associated first integrals, and double reduction of difference equations. Zbl 1470.39015Ndlovu, L.; Folly-Gbetoula, M.; Kara, A. H.; Love, A. 1 2014 Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities. Zbl 1281.35069Biswas, Anjan; Kara, Abdul H.; Bokhari, Ashfaque H.; Zaman, F. D. 18 2013 Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equation. Zbl 1257.35151Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan 14 2013 Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity. Zbl 1298.35164Morris, Richard; Kara, Abdul Hamid; Biswas, Anjan 13 2013 Classification of static spherically symmetric spacetimes by Noether symmetries. Zbl 1274.83036Bokhari, Ashfaque H.; Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M.; Zaman, F. D. 5 2013 Double reductions/analysis of the Drinfeld-Sokolov-Wilson equation. Zbl 1290.35230Morris, R.; Kara, A. H. 2 2013 Conservation laws of the Bretherton equation. Zbl 1264.35141Kara, A. H.; Triki, Houria; Biswas, Anjan 2 2013 Solitons and conservation laws in neurosciences. Zbl 1298.74134Biswas, Anjan; Kara, Abdul H.; Savescu, Michelle; Bokhari, Ashfaque H.; Zaman, F. D. 1 2013 Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations. Zbl 1360.35101Masemola, P.; Kara, A. H.; Fakhar, K. 1 2013 New higher-order conservation laws of some classes of wave and Gordon-type equations. Zbl 1242.35162Jamal, S.; Kara, A. H. 5 2012 Wave equations in Bianchi space-times. Zbl 1267.35229Jamal, S.; Kara, A. H.; Narain, R. 3 2012 Double reduction of a nonlinear \((2+1)\) wave equation via conservation laws. Zbl 1221.35244Bokhari, Ashfaque H.; Al-Dweik, Ahmad Y.; Kara, A. H.; Mahomed, F. M.; Zaman, F. D. 17 2011 Symmetry solutions and reductions of a class of generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation. Zbl 1401.35270Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan 14 2011 Wave equation on spherically symmetric Lorentzian metrics. Zbl 1317.58030Bokhari, Ashfaque H.; Al-Dweik, Ahmad Y.; Kara, A. H.; Karim, M.; Zaman, F. D. 6 2011 Soliton solutions and conservation laws of the Gilson-Pickering equation. Zbl 1274.35309Ebadi, Ghodrat; Kara, A. H.; Petković, Marko D.; Biswas, Anjan 4 2011 On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects. Zbl 1217.76085Fakhar, K.; Kara, A. H.; Khan, I.; Sajid, M. 3 2011 A non-variational approach to the construction of new ‘higher-order’ conservation laws of the family of nonlinear equations \(\alpha (u_{t} + 3uu_{x}) + \beta (u_{txx} + 2u_{x}u_{xx} + uu_{xxx}) - \gamma u_{xxx} = 0\). Zbl 1220.35150Kara, A. H.; Bokhari, Ashfaque H. 2 2011 Generalization of the double reduction theory. Zbl 1201.35014Bokhari, Ashfaque H.; Al-Dweik, Ahmad Y.; Zaman, F. D.; Kara, A. H.; Mahomed, F. M. 23 2010 1-soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation. Zbl 1200.35250Biswas, Anjan; Kara, A. H. 8 2010 1-soliton solution and conservation laws for the Jaulent-Miodek equation with power law nonlinearity. Zbl 1201.65181Biswas, Anjan; Kara, A. H. 7 2010 1-soliton solution and conservation laws for nonlinear wave equation in semiconductors. Zbl 1205.82138Biswas, Anjan; Kara, A. H. 6 2010 Conservation laws of a nonlinear \((1+1)\) wave equation. Zbl 1194.35272Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 4 2010 New conservation laws of some third-order systems of PDEs arising from higher-order multipliers. Zbl 1202.35244Morris, R.; Kara, A. H. 3 2010 The Noether conservation laws of some Vaidiya metrics. Zbl 1186.83092Narain, R.; Kara, A. H. 3 2010 An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov equations. Zbl 1419.35176Kara, A. H. 2 2010 On the redefinition of the variational and ‘partial’ variational conservation laws in a class of nonlinear PDEs with mixed derivatives. Zbl 1272.76185Narain, R.; Kara, A. H. 2 2010 A complete symmetry classification and reduction of some classes of the nonlinear \((1-2)\) wave equation. Zbl 1274.35008Ahmad, Aijaz; Bokhari, Ashfaque H.; Kara, Abdul Hamid; Zaman, F. D. 2 2010 Conservation laws of high-order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives. Zbl 1186.35189Narain, R.; Kara, A. H. 1 2010 A symmetry analysis of some classes of evolutionary nonlinear \((2+1)\)-diffusion equations with variable diffusivity. Zbl 1207.35026Bokhari, Ashfaque H.; Dweik, Ahmad Y. Al; Kara, A. H.; Zaman, F. D. 1 2010 Conservation laws of some non-variational perturbed PDE’s via a partial variational approach. Zbl 1221.35034Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 1 2010 On generalized nonlinear Burgers’ equation. Zbl 1240.35432Bokhari, Ashfaque H.; Kara, A. H.; Abdulwahab, M.; Zaman, F. D. 1 2010 Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter. Zbl 1158.35306Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 12 2009 A symmetry invariance analysis of the multipliers & conservation laws of the Jaulent-Miodek and some families of systems of KdV type equations. Zbl 1362.35266Kara, A. H. 11 2009 Travelling wave solutions to Stokes’ problem for a fourth grade fluid. Zbl 1168.35417Hayat, T.; Kara, A. H.; Momoniat, E. 7 2009 Invariance analysis and variational conservation laws for the wave equation on some manifolds. Zbl 1174.83001Bokhari, Ashfaque H.; Kara, A. H.; Karim, M.; Zaman, F. D. 6 2009 On the solutions and conservation laws of the model for tumor growth in the brain. Zbl 1168.35006Bokhari, A. H.; Kara, A. H.; Zaman, F. D. 3 2009 Approximate symmetries and conservation laws of the geodesic equations for the Schwarzschild metric. Zbl 1173.83007Kara, A. H.; Mahomed, F. M.; Qadir, Asghar 14 2008 Symmetry classifications and reductions of some classes of \((2+1)\)-nonlinear heat equation. Zbl 1132.35044Ahmad, A.; Bokhari, Ashfaque H.; Kara, A. H.; Zaman, F. D. 6 2008 Exact solutions using symmetry methods and conservation laws for the viscous flow through expanding-contracting channels. Zbl 1167.76357Asghar, S.; Mushtaq, M.; Kara, A. H. 3 2008 Conservation laws and associated Noether type vector fields via partial Lagrangians and Noether’s theorem for the Liang equation. Zbl 1163.70011Marwat, D. N. Khan; Kara, A. H.; Hayat, T. 1 2008 On approximate Lagrangians and invariants for scaling reductions of a non-linear wave equation with damping. Zbl 1157.65454Ahmad, Ferhana; Kara, A. H.; Bokhari, A. H.; Zaman, F. D. 1 2008 Partial Noether operators and first integrals via partial Lagrangians. Zbl 1130.70012Kara, A. H.; Mahomed, F. M.; Naeem, I.; Wafo Soh, C. 25 2007 Noether versus Killing symmetry of conformally flat Friedmann metric. Zbl 1136.83010Bokhari, Ashfaque H.; Kara, A. H. 17 2007 Symmetries, conservation laws and multipliers via partial Lagrangians and Noether’s theorem for classically non-variational problems. Zbl 1133.70008Khan Marwat, D. N.; Kara, A. H.; Mahomed, F. M. 7 2007 Solitary wave solutions to some classes of nonlinear evolution type equations using inverse variational methods. Zbl 1120.35030Kara, A. H. 5 2007 On the symmetry structures of the Minkowski metric and a Weyl re-scaled metric. Zbl 1128.83006Bokhari, Ashfaque H.; Kara, A. H.; Kashif, A. R.; Zaman, F. D. 4 2007 Exact solutions of some general nonlinear wave equations in elasticity. Zbl 1180.74035Bokhari, A. H.; Kara, A. H.; Zaman, F. D. 2 2007 Exact solutions of thin film flows. Zbl 1193.76022Asghar, S.; Hayat, T.; Kara, A. H. 2 2007 Noether-type symmetries and conservation laws via partial Lagrangians. Zbl 1121.70014Kara, A. H.; Mahomed, F. M. 99 2006 Couette flow of a third-grade fluid with variable magnetic field. Zbl 1105.76007Hayat, T.; Kara, A. H. 23 2006 Noether symmetries versus Killing vectors and isometries of spacetimes. Zbl 1125.83305Bokhari, A. H.; Kara, A. H.; Kashif, A. R.; Zaman, F. D. 16 2006 A note on a symmetry analysis and exact solutions of a nonlinear fin equation. Zbl 1143.35311Bokhari, A. H.; Kara, A. H.; Zaman, F. D. 14 2006 A variational analysis of a non-Newtonian flow in a rotating system. Zbl 1131.76007Hayat, T.; Kara, A. H. 12 2006 A basis of approximate conservation laws for PDEs with a small parameter. Zbl 1160.35318Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 9 2006 Invariant solutions of certain nonlinear evolution type equations with small parameters. Zbl 1103.35045Bokhari, A. H.; Kara, A. H.; Zaman, F. D. 3 2006 Nonlinear evolution-type equations and their exact solutions using inverse variational methods. Zbl 1069.37047Kara, A. H.; Khalique, C. M. 13 2005 The unsteady flow of a fourth-grade fluid past a porous plate. Zbl 1080.76006Hayat, T.; Kara, A. H.; Momoniat, E. 10 2005 Equivalent Lagrangians and the inverse variational problem with applications. Zbl 1089.34514Kara, A. H. 2 2004 Potential symmetry generators and associated conservation laws of perturbed nonlinear equations. Zbl 1055.65113Davison, A. H.; Kara, A. H. 2 2004 Exact flow of a third-grade fluid on a porous wall. Zbl 1348.76016Hayat, T.; Kara, A. H.; Momoniat, E. 25 2003 Potential symmetries and associated conservation laws with application to wave equations. Zbl 1047.35009Davison, A. H.; Kara, A. H. 4 2003 Potential symmetry generators of some perturbed nonlinear evolution related equations. Zbl 1144.35316Kara, A. H. 1 2003 A basis of conservation laws for partial differential equations. Zbl 1362.35024Kara, A. H.; Mahomed, F. M. 47 2002 Group theoretic methods for approximate invariants and Lagrangians for some classes of \(y^{\prime\prime} + F(t)y^{\prime}+y=f(y,y^{\prime})\). Zbl 1116.34318Feroze, T.; Kara, A. H. 13 2002 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 693 Authors 71 Kara, Abdul Hamid 42 Mahomed, Fazal M. 34 Hayat, Tasawar 26 Zaman, Fiazud Din 25 Bokhari, Ashfaque H. 25 Khalique, Chaudry Masood 21 Biswas, Anjan 18 Wang, Gangwei 13 Gandarias Núñez, Maria Luz 13 Naeem, Imran 13 Yaşar, Emrullah 12 Folly-Gbetoula, Mensah K. 12 Jamal, Sameerah 12 Muatjetjeja, Ben 11 Zhang, Zhiyong 10 Asghar, Saleem 10 Bruzón, Maria Santos 10 Fakhar, Kamran 10 Johnpillai, Andrew Gratien 10 Paliathanasis, Andronikos 9 Jhangeer, Adil 9 Leach, Peter Gavin Lawrence 9 Momoniat, Ebrahim 8 Al-Dweik, Ahmad Y. 8 Inc, Mustafa 8 Kumar, Sachin 8 Naz, Rehana 8 Nyirenda, Darlison 8 Özer, Teoman 8 Sajid, Muhammad 8 Wazwaz, Abdul-Majid Abdul-Rahman 7 Belić, Milivoj R. 7 Govinder, Keshlan Sathasiva 7 Mason, David Paul 7 Qadir, Asghar 7 San, Sait 7 Younis, Muhammad 6 Băleanu, Dumitru I. 6 Ellahi, Rahmat 6 Yang, Hongwei 6 Zhou, Qin 5 Anco, Stephen C. 5 Ayub, Muhammad 5 Aziz, Taha 5 Bekir, Ahmet 5 Feroze, Tooba 5 Gupta, Rajesh Kumar 5 Kumar, Mukesh 5 Mahomed, K. 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