论文标题
非线性分数schrödinger方程的新的近似分析溶液，具有二阶时空分散剂，通过双拉拉拉斯变换法
New approximate-analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method
论文作者
论文摘要
在本文中，具有时空分散体的修改的非线性schrödinger方程是根据Caputo分数衍生物和符合性衍生物的感觉制定的。已经定义并应用了一种新的广义双拉瓣变换，并与Adomian分解方法结合使用，以求解新配制的非线性Schrödinger方程和时空分散剂。在Caputo分数衍生物和符合性衍生物的意义上，使用所提出的广义方法的近似分析解决方案将获得图形方式。
In this paper, a modified nonlinear Schrödinger equation with spatio-temporal dispersion is formulated in the senses of Caputo fractional derivative and conformable derivative. A new generalized double Laplace transform coupled with Adomian decomposition method has been defined and applied to solve the newly formulated nonlinear Schrödinger equation with spatio-temporal dispersion. The approximate analytical solutions using the proposed generalized method in the sense of Caputo fractional derivative and conformable derivatives are obtained and compared with each other graphically.
