[1] S.C. Anco and G.W. Bluman, Derivation of conservation laws from nonlocal symmetries of differential equations,
J. Math. Phys. 37 (1996), 2361–2375.
[2] S.C. Anco and G.W. Bluman, Direct constrution of conservation laws from field equations, Phys. Rev. Lett. 78
(1997), 2869–2873.
[3] S.C. Anco and G.W. Bluman, Direct construction method for conservation laws of partial differential equations.
Part I: Examples of conservation law classifications, Eur. J. Appl. Math. 13 (2002), 545–566.
[4] S.C. Anco and G.W. Bluman, Direct construction method for conservation laws of partial differential equations.
Part II: General treatment, Eur. J. Appl. Math. 13 (2002), 567–585.
[5] S.C. Anco and M.L. Gandarias, Symmetry multi-reduction method for partial differential equations with conservation laws, Commun. Nonlinear Sci. Numer. Simul. 91 (2020), 105349.
[6] G. Baumann, MathLie: A Program of doing symmetry analysis, Math. Comp. Simul. 48 (1998), 205–223.
[7] H. Baran, P. Blaschke, I.S. Krasil’shchik and M. Marvan, On symmetries of the Gibbons-Tsarev equation, J.
Geom. Phys. 144 (2019), 54–80.
[8] G.W. Bluman, Connections between symmetries and conservation laws, Symmetry Integr. Geom.: Meth. Appl.
(SIGMA) 1 (2005), Paper 011, 1–16.
[9] G.W. Bluman, AF. Cheviakov and SC. Anco, Applications of Symmetry Methods to Partial Differential Equations,
Springer, New York, 2010.
[10] A.H. Bokhari, A.Y. Al-Dweik, A.H. Kara, F.M. Mahomed and F.D. Zaman, Double reduction of a nonlinear
(2+1) wave equation via conservation laws, Commun. Nonlinear Sci. Numer. Simul. 16 (2011), 1244–1253.
[11] A.H. Bokhari, A.Y. Al-Dweik, F.D. Zaman, A.H. Kara and F.M. Mahomed, Generalization of the double reduction
theory, Nonlinear Anal. Real World Appl. 11 (2010), 3763–3769.
[12] B.J. Cantwell, Introduction to Symmetry Analysis, Cambridge University Press, Cambridge, 2002.
[13] R. Cimpoiasu, H. Rezazadeh, D.A. Florian, H. Ahmad, K. Nonlaopon and M. Altanji, Symmetry reductions
and invariant-group solutions for a two-dimensional Kundu–Mukherjee-Naskar model, Results Phys. 28 (2021),
104583.[14] L. Dresner, Applications of Lie’s Theory of Ordinary and Partial Differential Equations, Institute of Physics,
Bristol, UK, 1999.
[15] Y. Emrullah and T. Ozer, ¨ Invariant solutions and conservation laws to nonconservative FP equation, Comput.
Math. Appl. 59 (2010), 3203–3210.
[16] Y. Emrullah, S. Sait and O. Ye¸sim Saˇglam, ¨ Nonlinear self-adjointness, conservation laws and exact solutions of
ill-posed Boussinesq equation, Open Phys. 14 (2016), 37–43.
[17] M.L. Gandarias and M. Rosa, On double reductions from symmetries and conservation laws for a damped Boussinesq equation, Chaos Solitons Fractals 89 (2016), 560–565.
[18] J. Gibbons and S.P. Tsarev, Reductions of the Benney equations, Phys. Lett. A. 211 (1996), 19–24.
[19] P.E. Hydon, Symmetry Methods for Differential Equations: A Beginner’s Guide, Cambridge University Press,
New York, 2000.
[20] N.H. Ibragimov, A new conservation theorem, J. Math. Anal. Appl. 333 (2007), 311–328.
[21] A. Iqbal and I. Naeem, Generalised conservation laws, reductions and exact solutions of the K(m, n) equations
via double reduction theory, Pramana 95 (2021), 1–9.
[22] O.V. Kaptsov, Involutive distributions, invariant manifolds, and defining equations, Siberian Math. J. 43 (2002),
428–438.
[23] O.V. Kaptsov and A.V. Schmidt, Linear determining equations for differential constraints, Glasgow Math. J. 47
(2005),, 109–120.
[24] A.H. Kara and F.M. Mahomed, Relationship between symmetries and conservation laws, Int. J. Theor. Phys. 39
(2000), 23–40.
[25] A.H. Kara and F.M. Mahomed, A basis of conservation laws for partial differential equations, Nonlinear Math.
Phys. 9 (2002), 60–72.
[26] A.H. Kara and F.M. Mahomed, Noether-type symmetries and conservation laws via partial Lagrangians, Nonlinear
Dyn. 45 (2006), 367–383.
[27] C.M. Khalique, K. Plaatjie and O.L. Diteho, Symmetry solutions and conservation laws for the 3D generalized
potential Yu-Toda-Sasa-Fukuyama equation of Mathematical Physics, Symmetry 13 (2021), 2058.
[28] S. Kumar, W. Ma and A. Kumar, Lie symmetries, optimal system and group-invariant solutions of the (3+1)-
dimensional generalized KP equation, Chinese J. Phys. 69 (2021), 1–23.
[29] A. Lelito and O.I. Morozov, The Gibbons-Tsarev equation: Symmetries, invariant solutions, and applications, J.
Nonlinear Math. Phys. 23 (2016), 243–255.
[30] H. Lu and H. Zhang, Lie symmetry analysis, exact solutions, conservation laws and B¨acklund transformations of
the Gibbons-Tsarev equation, Symmetry. 12 (2020) 1378.
[31] R. Morris and A.H. Kara, Double reductions/analysis of the Drinfeld-Sokolov-Wilson equation, Appl. Math.
Comput. 219 (2013), 6473–6483.
[32] R. Naz, conservation laws for some compacton equations using the multiplier approach, Appl. Math. Lett. 25
(2012), 257–261.
[33] P.J. Olver, Applications of Lie Groups to Differential Equations, Springer: New York, USA, 1993.
[34] A. Raza, F.M. Mahomed, F.D. Zaman and A.H. Kara, Optimal system and classification of invariant solutions
of nonlinear class of wave equations and their conservation laws, J. Math. Anal. Appl. 505 (2022), no. 1, 125615.
[35] T.M. Rocha Filho and A. Figueiredo, [SADE] a Maple package for the symmetry analysis of differential equations,
Comput. Phys. Commun. 182 (2011), 467–476.
[36] M. Ruggieri and M.P. Speciale, On the construction of conservation laws: A mixed approach, J. Math. Phys. 58
(2017), 023510.
[37] S. Sait, A. Akbulut, O. Unsal and F. Tascan, ¨ Conservation laws and double reduction of (2+1) dimensionalCalogero-Bogoyavlenskii-Schiff equation, Math. Methods Appl. Sci. 40 (2016), 1703–1710.
[38] A. Sj¨oberg, Double Reduction of PDEs from the association of symmetries with conservation laws with applications, Appl. Math. Comput. 184 (2007), 608–616.
[39] A. Sj¨oberg, On double reductions from symmetries and conservation laws, Nonlinear Anal. Real World Appl. 10
(2009), 3472–3477.
[40] T. Wolf, A comparison of four approaches to the calculation of conservation laws, Eur. J. Math. 13 (2002),
129–152.