@Article{JMS-57-2,
author = {Xiao, Su and Xiao, Li and Wang, Shubin},
title = {The Cauchy Problem for the Sixth Order $p$-Generalized Benney-Luke Equation},
journal = {Journal of Mathematical Study},
year = {2024},
volume = {57},
number = {2},
pages = {133--148},
abstract = {<p style="text-align: justify;">We investigate the Cauchy problem for the sixth order $p$-generalized Benney-Luke equation. The local well-posedness is established in the energy space $\dot{H}^1
(\mathbb{R}^n)∩ \dot{H}^3(\mathbb{R}^n)$ for $1 ≤ n ≤ 10,$ by means of the Sobolev multiplication law and the contraction mapping principle. Moreover, we establish the energy identity of solutions and
provide the sufficient conditions of the global existence of solutions by analyzing the
properties of the energy functional.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v57n2.24.01},
url = {https://global-sci.com/article/91128/the-cauchy-problem-for-the-sixth-order-p-generalized-benney-luke-equation}
}