Diverse exact solutions for modified nonlinear Schrödinger equation with conformable fractional derivative

Analytical wave solutions of the (2+1)‐dimensional Boiti–Leon–Pempinelli and Boiti–Leon–Manna–Pempinelli equations by mathematical methods

“…Our solutions U 1 and V 1 represented in Equation () and Equation () are likely similar form to the solutions mentioned in Equation (11) and Equation (43) respectively in a previous study 51 . Our solutions U 20 and U 21 represented in Equation () and Equation () are likely similar form to the solutions mentioned in Equation (3.11) and Equation (3.17) respectively in a previous study 52 . Our solutions U 6 and U 7 arranged in Equation () and Equation () are the same with solutions V 3 and V 4 mentioned in Equation (16) and Equation (17) respectively in a previous study 53 …”

“…51 Our solutions U 20 and U 21 represented in Equation (139) and Equation ( 76) are likely similar form to the solutions mentioned in Equation (3.11) and Equation (3.17) respectively in a previous study. 52 Our solutions U 6 and U 7 arranged in Equation (32) and Equation ( 33) are the same with solutions V 3 and V 4 mentioned in Equation ( 16) and Equation ( 17) respectively in a previous study. -5).…”

The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrödinger Equation by the Trial Equation Method and Modified Trial Equation Method

“…In this section, we present the first step of the TEM and the MTEM for finding analytical solutions of the CTFMNLSE defined as (2). For more details, see [5]. Suppose a CTFNLPDE…”

“…In [2][3][4], the exact solution of CTFNLSE (1) is obtained through different methods such as the first integral method, functional variable method, sine-Gordon method, and direct algebraic method. In [5], Younas et al presented the CTFMNLSE and studied the exact solutions of it by the generalized exponential rational function method.…”

On study of modulation instability and optical soliton solutions: the chiral nonlinear Schrödinger dynamical equation

“…It remains one of the most dynamic areas of theoretical physics today, providing a common language to several other branches of physics. Due to this different kind of powerful and effective techniques are introduced to find exact and analytic solutions by using computational algebra (Seadawy and Jun 2017;Younas et al 2021;Ozkan et al 2021;Seadawy et al 2021a, b;Bilal et al 2021a, b;Rizvi et al 2021a, b). It is not possible to apply each method to all governing model because every method has its own shortcomings and criteria for the application to the governing model for discussing the exact solutions.…”