The Lie algebra of invariant group of the KdV, MKdV, or Burgers equation

DOI10.1007/BF00397212zbMath0417.35051WikidataQ115395079 ScholiaQ115395079MaRDI QIDQ755048

Gue-Zhang Tu

Publication date: 1979

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

conservation lawLie algebraBurgers equationsevolution equationssymmetriesKorteweg de Vries equationrecursive differential operator

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for linear higher-order PDEs (35G10) Lie algebras of linear algebraic groups (17B45) Higher-order parabolic equations (35K25)

Related Items (3)

On polynomial symmetries of the sine-Gordon equation ⋮ A commutativity theorem of partial differential operators ⋮ On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation

Cites Work

• Group theoretic aspects of conservation laws of nonlinear dispersive waves: KdV type equations and nonlinear Schrödinger equations
• Evolution equations possessing infinitely many symmetries

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