Nonlinearity contributions on critical MKP equation

Abstract

The mathematical new plasma wave solutions are specified in the compose of trigonometric, rational, hyperbolic, periodic and explosive kinds that are realistic for Modified-Kadomtsev-Petviashvili (MKP) equation. Also, numeral studies for the acquired solutions have been reveals that periodic, shock and explosive new forms may applicable in D-F Earth's ionosphere plasma. The used method is influential and robust in comparison applications in plasma fluids. To depict the propagating soliton profiles in a plasma medium, it is needful to solve MKP equation at a critical mass ratio. The Riccati-Bernoulli sub-ODE technique has been utilized to introduce some new important and applicable solutions. The number of these MKP solutions give a leading deed in applied ion acoustics in ionosphere.

Propagation wave solutions with non-local nonlinearityfor stochastic NLSE

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Modulations of Stochastic Modeling in the Structural and Energy Aspects of the Kundu–Mukherjee–Naskar System

“…Different types of nonlinear partial differential equations (NPDEs) can be used to describe a variety of complex nonlinear physical processes [1][2][3]. In fact, NPDEs have been the most extensively researched objects in various fields of applied science, such as molecular biology, optical fiber communications, chemical engineering, superfluids, solid-state physics, plasma physics, and many others [4][5][6]. The topic of optical solitons is critical for the exploration of soliton propagation via nonlinear fiber.…”

The new structures of stochastic solutions for the nonlinear Schrödinger’s equations

“…The nonlinear wave phenomena plays a fundamental role in different fields of natural sciences, like nonlinear optics, superfluid, high-energy physics, biology, nuclear physics, gravitation, engineering, solid state physics, and so on. [1][2][3][4][5][6] Noise (randomness) is of great importance in many phenomena, thus it has become important to involve random effects when explaining different physical phenomena in chemical engineering, physics, economy, digital simulation, robotics control, networked systems, and many others. 7,8 The nonlinear partial differential equations (NPDEs) that consider time-dependent randomness are called stochastic NPDEs.…”