论文标题
tanh-coth方法的kDV方程的广义标准不变类似物的行进波解决方案
Traveling wave solutions of the generalized scale-invariant analogue of the KdV equation by tanh-coth method
论文作者
论文摘要
在这项工作中，研究了Korteweg-de Vries（GSIAKDV）方程的广义规模不变类似物。 Tanh-Coth方法首次用于找到该非线性方程的波动波解决方案。所考虑的广义方程是众所周知的KDV方程与最近研究的SIDV方程之间的联系。获得的结果表明，该模型的许多解决方案系列都表明该方程式还与KDV和SIDV共享钟形的解决方案，如其他研究人员先前所记录的。最后，通过执行符号计算，我们证明了使用的技术是一种有价值且有效的数学工具，可用于解决跨学科非线性科学和应用数学中出现的问题。
In this work, the generalized scale-invariant analogue of the Korteweg-de Vries (gsiaKdV) equation is studied. For the first time, the tanh-coth methodology is used to find traveling wave solutions for this nonlinear equation. The considered generalized equation is a connection between the well-known KdV equation and the recently investigated SIdV equation. The obtained results show many families of solutions for the model, indicating that this equation also shares bell-shaped solutions with KdV and SIdV, as previously documented by other researchers. Finally, by executing the symbolic computation, we demonstrate that the employed technique is a valuable and effective mathematical tool that can be used to solve problems that arise in the cross-disciplinary nonlinear sciences and applied mathematics.
