Nonlinear evolution equations that leave the spectrum of multidimensional Schrödinger equation invariant do not exist
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Publication:1234800
DOI10.1007/BF00417599zbMath0349.35018MaRDI QIDQ1234800
Publication date: 1976
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Scattering theory for PDEs (35P25) Nonlinear higher-order PDEs (35G20) Schrödinger operator, Schrödinger equation (35J10)
Related Items (4)
Quelques généralisations de l'équation de Korteweg-de Vries. II ⋮ Group theoretic interpretation of equations of Korteweg-de Vries type ⋮ Group-theoretical interpretation of the Korteweg-de Vries type equations ⋮ Group-theoretical interpretation of the Korteweg-de Vries type equations
Cites Work
- E-compact extensions of topological spaces
- Method for Solving the Korteweg-deVries Equation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
- Integrals of nonlinear equations of evolution and solitary waves
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