This paper investigates data-driven forward–inverse problems associated with the variable
coefficients Hirota (VC-Hirota) equation using the physics-informed neural network (PINN) …

Optical soliton has become one of the most effective transmission carriers in optical
communication system by virtue of its own characteristics and transmission properties. In this …

This paper studies the optical soliton solutions of a nonlinear Schrödinger equation (NLSE)
involving parabolic law of nonlinearity with the presence of nonlinear dispersion by using …

With symbolic computation, two classes of lump solutions to the dimensionally reduced
equations in (2+ 1)-dimensions are derived, respectively, by searching for positive quadratic …

Abstract In this paper, a (3+ 1)-dimensional nonlinear evolution equation and its reduction is
studied by use of the Hirota bilinear method and the test function method. With symbolic …

Associated with the prime number p= 3 p= 3, a combined model of generalized bilinear
Kadomtsev–Petviashvili and Boussinesq equation (gbKPB for short) in terms of the function f …

Abstract In this paper, a (3+ 1)(3+ 1)-dimensional nonlinear evolution equation is cast into
Hirota bilinear form with a dependent variable transformation. A bilinear Bäcklund …

Fractional nonlinear models involving the underlying mechanisms of numerous complicated
physical phenomena arising in nature of real world have been taken major place of research …

In this paper, a generalized nonlinear Schrödinger equation with variable dispersion and
nonlinear coefficients, which can be used to describe the pulse transmission in …

This paper investigates the nonautonomous Schrödinger-Hirota equation with power-law
nonlinearity via the Unified Method. New nonautonomous optical wave solutions are …