Blow-up of solutions to a modified two-component Dullin–Gottwald–Holm system

Cheng, Wenguang; Xu, Tianzhou

doi:10.1016/j.aml.2020.106307

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“…Guo et al [8] followed the Ivanov's approach in the presence of a linear shear flow and non-zero vorticity to derive the following two-component DGH system [3,4] as…”

Section: Copyright C 2022 the Author(s) Published By Vilnius Gedimina...mentioning

confidence: 99%

Generalised Two-Component Modified Weakly Dissipative Dullin-Gottwald-Holm System: Invariance Analysis and Conservation Laws

Kumar

Jyoti

2022

Mathematical Modelling and Analysis

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The Dullin-Gottwald-Holm equation models the unidirectional propagation of shallow regime water waves. In this work, the Lie symmetry analysis of the generalised two-component modified weakly dissipative Dullin-Gottwald-Holm system is performed. Using symmetry reduction, the exact solutions are obtained in the form of power series and trigonometric functions. Also using multiplier approach, the conservation laws are obtained. The 3D graphical representations are also shown for obtained solutions.

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“…Guo et al [8] followed the Ivanov's approach in the presence of a linear shear flow and non-zero vorticity to derive the following two-component DGH system [3,4] as…”

Section: Copyright C 2022 the Author(s) Published By Vilnius Gedimina...mentioning

confidence: 99%