The Symmetry Reduction of Nonlinear Equations of the Type □u + F(u, u1)u0 = 0 to Ordinary Differential Equations
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The reduction of two nonlinear equations of the type □u+F(u, u1)u0 = 0 with respect to all rank three subalgebras of a subdirect sum of the extended Euclidean algebras A ~E(1) and A ~E(3) is carried out. Some new invariant exact solutions of these equations are obtained.
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TY - JOUR AU - Leonid Barannyk AU - Halyna Lahno PY - 1997 DA - 1997/05/01 TI - The Symmetry Reduction of Nonlinear Equations of the Type □u + F(u, u1)u0 = 0 to Ordinary Differential Equations JO - Journal of Nonlinear Mathematical Physics SP - 78 EP - 88 VL - 4 IS - 1-2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1997.4.1-2.12 DO - 10.2991/jnmp.1997.4.1-2.12 ID - Barannyk1997 ER -