International Journal of Mathematics Trends and Technology
Volume 65 | Issue 6 | Year 2019 | Article Id. IJMTT-V65I6P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I6P510
A (2+1)-dimensional generalized KdV equation (ut+u3 ux+αuxxx)x+βuyy =0, α, β∈ R + is subjected to Lie’s classical method. Classification of its symmetry algebra into oneand two-dimensional subalgebras is carried out in order to facilitate its systematic reduction to (1+1) dimensional PDE and then to ODEs. A solution containing two arbitrary functions of time t is also determined.
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J. K. Subashini , B. Mayil Vaganan, "Symmetry Reductions of UT+U3UX +αUXXX X+βUY Y=0," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 6, pp. 61-66, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I6P510
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