Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: KAM for autonomous quasi-linear perturbations of mKdV   We prove the existence of Cantor families of small amplitude, linearly
stable, quasi-periodic solutions of quasi-linear (also called strongly
nonlinear) autonomous Hamiltonian differentiable perturbations of the mKdV
equation. The proof is based on a weak version of the Birkhoff normal form
algorithm and a nonlinear Nash-Moser iteration. The analysis of the linearized
operators at each step of the iteration is achieved by pseudo-differential
operator techniques and a linear KAM reducibility scheme.

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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg