非线性色散方程：光滑变形，双曲子和高阶扩展
Nonlinear dispersion equations: smooth deformations, compactons, and extensions to higher orders
摘要：
三阶非线性色散方程（NDEs）被证明允许冲击波和稀疏波（作为弱解），这是区分光滑变形的方法。证明了Compacton型行波解是δ-熵和G-容许的（在I.M. Gel'fand，1963）。一些高阶NDE的扩展。
英文摘要：
Third-order nonlinear dispersion equations (NDEs) are shown to admit both shock and rarefaction waves (as weak solutions), which are distinguished by a smooth deformation approach. Compacton-type travelling wave solutions are proved to be both delta-entropy and G-admissible (in the sense of I.M. Gel'fand, 1963). Extensions to some higher-order NDEs are performed.
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