On the similarity solution of evolution equation \(u_t=H(x,t,u,u_x,u_{xx},\dots)\)
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Publication:1142364
DOI10.1007/BF00402585zbMath0439.35033OpenAlexW2026513603MaRDI QIDQ1142364
Publication date: 1980
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00402585
KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
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On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations ⋮ Lie-Bäcklund transformation and ordinary differential equations associated with some nonlinear equations
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