首页> 美国卫生研究院文献>Heliyon >Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics
【2h】

Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics

机译:水波力学中适形时间分数改进的Liouville和MRLW方程的行进波解的动力学行为

代理获取
本网站仅为用户提供外文OA文献查询和代理获取服务,本网站没有原文。下单后我们将采用程序或人工为您竭诚获取高质量的原文,但由于OA文献来源多样且变更频繁,仍可能出现获取不到、文献不完整或与标题不符等情况,如果获取不到我们将提供退款服务。请知悉。

摘要

In this current study, we described a modified extended tanh-function (mETF) method to find the new and efficient exact travelling and solitary wave solutions to the modified Liouville equation and modified regularized long wave (mRLW) equation in water wave mechanics. Travelling wave transformation decreases the leading equation to traditional ordinary differential equations (ODEs). The standardized balance technique provides the instruction of the portended polynomial related result stimulated from the mETF method. The substitution of this result follows the preceding step. Balancing the coefficients of the like powers of the portended solution leads to a system of algebraic equations (SAE). The solution of that SAE for coefficients provides the essential connection between the coefficients and the parameters to build the exact solution. Here the acquired solutions are hyperbolic, rational, and trigonometric function solutions. Our mentioned method is straightforward, succinct, efficient, and powerful and can be emphasized to establish the new exact solutions of different types of nonlinear conformable fractional equations in engineering and further nonlinear treatments.
机译:在本前研究中,我们描述了改进的扩展Tanh函数(MetF)方法,以找到改进的Liouville方程和水波力学中改进的Liouville方程和改进的正则化长波(MRLW)方程的新的高效精确行进和孤立波解。旅行波形变换降低了传统常微分方程(ODES)的前方方程。标准化平衡技术提供了从MetF方法刺激的预示多项式相关结果的指令。该结果的替换遵循前面的步骤。平衡预示溶液的像素的系数导致代数方程(SAE)的系统。该SAE用于系数的解决方案提供了系数和参数之间的基本连接来构建精确的解决方案。这里获得的解决方案是双曲线,理性和三角函数解决方案。我们提到的方法是简单的,简洁,高效,强大的,并且可以强调地建立工程和进一步非线性治疗中不同类型的非线性相容性分数方程的新精确解决方案。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
代理获取

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号