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Symmetries and solutions of a third order equation
1.  Instituto de Matemática, Estatística e Computação Científica, IMECC  UNICAMP, Sérgio Buarque de Holanda, 651, 13083859, Campinas, SP, Brazil 
2.  Centro de Matemática, Computação e Cognição, Universidade Federal do ABC  UFABC, Rua Santa Adélia, 166, Bairro Bangu, 09.210  170, Santo André, SP 
References:
[1] 
G. W. Bluman and S. Kumei, Symmetries and Differential Equations,, Applied Mathematical Sciences 81, 81 (1989). Google Scholar 
[2] 
G. W. Bluman and S. Anco, Symmetry and Integration Methods for Differential Equations,, Applied Mathematical Sciences 154, (2002). Google Scholar 
[3] 
S. Anco and G. Bluman, Direct construction of conservation laws from field equations,, Phys. Rev. Lett., 78 (1997), 2869. Google Scholar 
[4] 
S. Anco and G. Bluman, Integrating factors and first integrals for ordinary differential equations,, European J. Appl. Math., 9 (1998), 245. Google Scholar 
[5] 
S. Anco and G. Bluman, Direct construction method for conservation laws of partial differential equations. I. Examples of conservation law classifications,, European J. Appl. Math., 13 (2002), 545. Google Scholar 
[6] 
S. Anco and G. Bluman, Direct construction method for conservation laws of partial differential equations. II. General treatment,, European J. Appl. Math., 13 (2002), 567. Google Scholar 
[7] 
G. W. Bluman and S. Anco, Symmetry and Integration Methods for Differential Equations,, Springer, (2002). Google Scholar 
[8] 
G. Bluman, A. Cheviakov and S.C. Anco, Applications of Symmetry Methods to Partial Differential Equations,, Springer Applied Mathematics Series 168, 168 (2010). Google Scholar 
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N. H. Ibragimov, Transformation groups applied to mathematical physics,, Translated from the Russian Mathematics and its Applications (Soviet Series), (1985). Google Scholar 
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N. H. Ibragimov, Elementary Lie Group Analysis and Ordinary Differential Equations,, John Wiley and Sons, (1999). Google Scholar 
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A. Sen, D. P. Ahalpara, A. Thyagaraja and G. S. Krishnaswami, A KdVlike advectiondispersion equation with some remarkable properties,, Commun. Nonlin. Sci. Num. Simul., 17 (2012), 4115. Google Scholar 
[12] 
P. J. Olver, Applications of Lie groups to differential equations,, Springer, (1986). Google Scholar 
[13] 
A. D. Polyanin and V. F. Zaitsev, Handbook of exact solutions for ordinary differential equations,, 2nd Edition, (2003). Google Scholar 
show all references
References:
[1] 
G. W. Bluman and S. Kumei, Symmetries and Differential Equations,, Applied Mathematical Sciences 81, 81 (1989). Google Scholar 
[2] 
G. W. Bluman and S. Anco, Symmetry and Integration Methods for Differential Equations,, Applied Mathematical Sciences 154, (2002). Google Scholar 
[3] 
S. Anco and G. Bluman, Direct construction of conservation laws from field equations,, Phys. Rev. Lett., 78 (1997), 2869. Google Scholar 
[4] 
S. Anco and G. Bluman, Integrating factors and first integrals for ordinary differential equations,, European J. Appl. Math., 9 (1998), 245. Google Scholar 
[5] 
S. Anco and G. Bluman, Direct construction method for conservation laws of partial differential equations. I. Examples of conservation law classifications,, European J. Appl. Math., 13 (2002), 545. Google Scholar 
[6] 
S. Anco and G. Bluman, Direct construction method for conservation laws of partial differential equations. II. General treatment,, European J. Appl. Math., 13 (2002), 567. Google Scholar 
[7] 
G. W. Bluman and S. Anco, Symmetry and Integration Methods for Differential Equations,, Springer, (2002). Google Scholar 
[8] 
G. Bluman, A. Cheviakov and S.C. Anco, Applications of Symmetry Methods to Partial Differential Equations,, Springer Applied Mathematics Series 168, 168 (2010). Google Scholar 
[9] 
N. H. Ibragimov, Transformation groups applied to mathematical physics,, Translated from the Russian Mathematics and its Applications (Soviet Series), (1985). Google Scholar 
[10] 
N. H. Ibragimov, Elementary Lie Group Analysis and Ordinary Differential Equations,, John Wiley and Sons, (1999). Google Scholar 
[11] 
A. Sen, D. P. Ahalpara, A. Thyagaraja and G. S. Krishnaswami, A KdVlike advectiondispersion equation with some remarkable properties,, Commun. Nonlin. Sci. Num. Simul., 17 (2012), 4115. Google Scholar 
[12] 
P. J. Olver, Applications of Lie groups to differential equations,, Springer, (1986). Google Scholar 
[13] 
A. D. Polyanin and V. F. Zaitsev, Handbook of exact solutions for ordinary differential equations,, 2nd Edition, (2003). Google Scholar 
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