Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of multi-solitons for the focusing Logarithmic Non-Linear
  Schrodinger Equation   We consider the logarithmic Schr{\"o}dinger equation (logNLS) in the focusing
regime. For this equation, Gaussian initial data remains Gaussian. In
particular, the Gausson-a time-independent Gaussian function-is an orbitally
stable solution. In this paper, we construct multi-solitons (or multi-Gaussons)
for logNLS, with estimates in $H^1 \cap \mathcal{F} (H^1)$. We also construct
solutions to logNLS behaving (in $L^2$) like a sum of $N$ Gaussian solutions
with different speeds (which we call multi-gaussian). In both cases, the
convergence (as $t \rightarrow \infty$) is faster than exponential. We also
prove a rigidity result on these multi-gaussians and multi-solitons, showing
that they are the only ones with such a convergence.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: physics