New exact solutions of some (2+1)-dimensional nonlinear evolution equations and folding waves

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-09-18 DOI:10.1016/j.wavemoti.2024.103414

Kai Zhou , Sen-Yue Lou , Shou-Feng Shen

引用次数: 0

Abstract

By means of the Hirota’s bilinear method and special multi-linear variable separation ansatz, new exact solutions with low dimensional arbitrary functions of some (2+1)-dimensional nonlinear evolution equations are constructed. That is, we propose a unified method for solving the mNNV-type equations and the Burger-type equations. The key factor to the success of this method is that we have constructed some simplified Hirota’s bilinear calculation formulas in the form of variable separation of arbitrary order. Appropriate multi-valued functions are used to construct coherent structures such as the bell-type, peak-type and loop-type folding waves.

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一些 (2+1) 维非线性演化方程和折叠波的新精确解

通过广田双线性方法和特殊的多线性变量分离等式，构建了一些 (2+1)-dimensional 非线性演化方程的新的低维任意函数精确解。也就是说，我们提出了一种求解 mNNV 型方程和 Burger 型方程的统一方法。该方法成功的关键因素是我们以任意阶变量分离的形式构建了一些简化的广田双线性计算公式。我们使用适当的多值函数来构建相干结构，如钟型、峰型和环型折叠波。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.