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Sine Gordon Equation Is spatiotemporal models of nonlinear excitations in complex physical systems. It was originally introduced by Edmond Bour (1862) in the course of study…

Self Balancing Unicycle can considered as a non-linear control system similar to that of a two-dimensional inverted pendulum with a unicycle cart at its base.…

This article talks about Richards Equation, which introduced in 1931 is the main tool for ” Simulations of water transport in soil are ubiquitous”. For…

Nonlinear Schrödinger Equation can be applied to hydrodynamics, nonlinear optics, nonlinear acoustics, quantum condensates, heat pulses in solids and various other nonlinear instability phenomena. It…

Nonlinear Optics is a branch of optics which studies the nonlinear interactions of electromagnetic radiation and the media. It is typically only observed at very…

This article describe about Korteweg–de Vries Equation (KdV), which means of elementary operations as well as by using Bäcklund transform. Special interest is devoted to…

Fluid Dynamics provides methods for studying the evolution of stars, ocean currents, weather patterns, plate tectonics and even blood circulation. It is the branch of…

Navier-Stokes Equations are time-dependent and consist of a continuity equation for conservation of mass, three conservation of momentum equations and a conservation of energy equation.…

This article focus on Ginzburg–Landau Theory, which observed the existence of two types of superconductors depending on the energy of the interface between the normal…

General Relativity is introduced a new framework for all of physics and proposed new concepts of space and time. It was Einstein’s stupendous effort to…

Boltzmann Equation use in modern methods for solving partial differential equations and harmonic analysis to develop an analytical solution method and prove the global existence…

This article talks about Bellman Equation, which programming breaks a multi-period planning problem into simpler steps at different points in time. It requires keeping track…