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Showing 1 to 2 of 2 for “"Kawahara Equation"”.
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A study of certain multi-dimensional partial differential equations using Lie symmetry analysis
… nonlinear multi-dimensional partial differential equations which are mathematical models of various physical phenomena of the real world. Closed-form solutions and conservation laws are obtained for such equations using various methods. The multi-dimensional partial differential equations that are …
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Some Controllability and Stabilization Problems of Surface Waves on Water with Surface tension
… of a fifth-order Korteweg-de Vries type of equation w<sub>t</sub> + w<sub>xxx</sub> - w<sub>xxxxx</sub> - <sup>n</sup>∑<sub>j=1</sub> a<sub>j</sub>w<sup>j</sup>w<sub>x</sub> = 0, w(x, 0) = w<sub>0</sub>(x) posed on a periodic domain x ∈ [0, 2π] with boundary conditions w<sub>ix(</sub>0, t) = …