nonlinear systems

1. I Number of Solutions of a Nonlinear System

I developed a program to solve the nonlinear system below through the method of successive approximations and was only able to find one solution, namely $x_1 = 0.93377$ and $x_2 =0.88417$, even though I tried many different starting points. I was wondering if there's a way to determine if...
2. Solving a set of nonlinear quadratic equations

I would like to solve this system, which is a sets of non linear quadratic equations, the system needed to be solved can be expressed in general as follow: ϒϒ'C – ϒα = B Where ϒ=(ϒ1,ϒ2,....ϒn)’ is a column vector and ϒ’ its transpose C=(c1,c2,…,cn)’ and B=(b1,b2,…bn)’ are a columns vector...
3. Conserved quantities in the Korteweg-de Vries equation

1. Homework Statement Consider the Kortweg-de Vires Equation in the form $$\frac{\partial \psi}{\partial t}+\frac{\partial^3 \psi}{\partial x^3}+6\psi\frac{\partial \psi}{\partial x}=0$$ Find the relation between the coefficients $c$ and $d$ , such that the following quantity is...
4. Problems with Unscented Kalman Filter

Hi guys, I have problems understanding UKF and its environment. I will ask a couple of questions and see if you can help me. I have a nonlinear system (SYS) with one input called P (scalar) and one output called IP (also scalar). I would like to estimate the future output (the IP), so in my...