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- W77647932 abstract "With the aid of computer algebra, a systematic search may be made for Lie-Backlund symmetries of a class of nonlinear evolution equations. Often, a P.D.E which possesses high order L.-B. symmetries may be transformed to a linear equation and solved exactly. The author has found solvable examples for (i) horizontal flow in unsaturated scale-heterogeneous porous media $${{u}_{t}} = lambda (x)C(u){{u}_{{xx}}} - lambda prime (x)E(u){{u}_{x}} - lambda prime prime (x)Csmallint (1 + E/C)du$$(0.1)and (ii) the heterogeneous nonlinear Schrodinger equation with dielectric loss, $$i{{psi }_{t}} = - tfrac{1}{2}{{psi }_{{xx}}} + V(x,t)psi + iU(x,t)psi + R(x,t)|psi {{|}^{2}}psi$$(0.2)" @default.
- W77647932 created "2016-06-24" @default.
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- W77647932 date "1990-01-01" @default.
- W77647932 modified "2023-09-27" @default.
- W77647932 title "Selection of Solvable Nonlinear Evolution Equations by Systematic Searches for Lie Bäcklund Symmetries" @default.
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- W77647932 doi "https://doi.org/10.1007/978-3-642-84039-5_9" @default.
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