双指数非线性波动方程的行波解
Traveling wave solutions for wave equations with two exponential nonlinearities
摘要：
我们使用一个简单的方法，导致在获得的行波解的波动方程与一个和两个指数非线性的积分。当被积函数中的常数项为零时，得到了超几何函数的隐式解;当被积函数中的常数项不为零时，通过对相应的椭圆型方程的详细研究，得到了Liouville，Tzitzeica及其变式的所有基本行波解，以及在非线性物理唯象学和动力学系统中有重要应用的sine/sinh-Gordon方程
英文摘要：
We use a simple method that leads to the integrals involved in obtaining the traveling wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained while when that term is nonzero all the basic traveling wave solutions of Liouville, Tzitzeica and their variants, as well as sine/sinh-Gordon equations with important applications in the phenomenology of nonlinear physics and dynamical systems are found through a detailed study of the corresponding elliptic equations
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
