salim-barzani

why it give me nothing in command solve?...

Asked: salim-barzani 210 Product: Maple 2024

Yesterday at 8:34 AM

1 1

there is must be a problem but i didn't figure out ? in this command didn't give me my parameter why?
vars1 := indets(eqs1);
ans := solve(eqs1, {a[0], a[1], a[2], a[3], a[4], e[1], k[1], n[1], p[1]});

parameter.mw

How do polarplot ?...

Asked: salim-barzani 210 Product: Maple 2024

January 20 2025

1 1

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Warning, A new binding for the name `gamma` has been created. The global instance of this name is still accessible using the :- prefix, :-`gamma`. See ?protect for details.

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sol3 := sqrt(2)*sqrt(-tau*gamma)*tanh(x-tau*t^alpha/alpha)*exp(I*gamma*(x+((2*gamma^3*tau-4*gamma*tau+8*tau^2)/(2*gamma^2)-tau*gamma)*t^alpha/((gamma-2*tau)*alpha)))/gamma

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{alpha, gamma, t, tau, x}

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>	P := [ alpha=1, gamma=-2, tau=3]

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polar(2^(1/2)*abs(tau*gamma)^(1/2)*exp(-Im(gamma*(x+((1/2)*(2*gamma^3*tau-4*gamma*tau+8*tau^2)/gamma^2-tau*gamma)*t^alpha/((gamma-2*tau)*alpha))))*abs(tanh(x-tau*t^alpha/alpha)/gamma), argument((-tau*gamma)^(1/2)*tanh(x-tau*t^alpha/alpha)*exp(I*gamma*(x+((1/2)*(2*gamma^3*tau-4*gamma*tau+8*tau^2)/gamma^2-tau*gamma)*t^alpha/((gamma-2*tau)*alpha)))/gamma))

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Download polar.mw

How find parameter in equation involving...

Asked: salim-barzani 210 Product: Maple 2024

January 20 2025

1 7

How i can find parameter after substitution in our pde

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u(x, t) = 2*(diff(diff(f(x, t), x), x))/f(x, t)-2*(diff(f(x, t), x))^2/f(x, t)^2

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%/exp(t*n[1]+x*k[1])

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${a[0] = a[0], a[1] = a[1], k[1] = k[1], n[1] = -k[1]^3}, {a[0] = a[0], a[1] = a[1], k[1] = 0, n[1] = n[1]}, {a[0] = a[0], a[1] = 0, k[1] = k[1], n[1] = n[1]}, {a[0] = 0, a[1] = a[1], k[1] = k[1], n[1] = n[1]}$

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${a[0] = a[0], a[1] = a[1], k[1] = k[1], n[1] = -k[1]^3}$

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u(x, t) = 2*a[1]*k[1]^2*exp(-t*k[1]^3+x*k[1])/(a[0]+a[1]*exp(-t*k[1]^3+x*k[1]))-2*a[1]^2*k[1]^2*(exp(-t*k[1]^3+x*k[1]))^2/(a[0]+a[1]*exp(-t*k[1]^3+x*k[1]))^2

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Error, invalid input: exp expects its 1st argument, x, to be of type algebraic, but received u(x,t) = 2*diff(diff(f(x,t),x),x)/f(x,t)-2*diff(f(x,t),x)^2/f(x,t)^2

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S3 := f(x, t) = a[0]+sum(exp(t*n[i]+x*k[i]), i = 1 .. 3)+a[1]*exp(t*n[1]+t*n[2]+x*k[1]+x*k[2])+a[2]*exp(t*n[1]+t*n[3]+x*k[1]+x*k[3])+a[3]*exp(t*n[2]+t*n[3]+x*k[2]+x*k[3])+a[4]*exp(t*n[1]+t*n[2]+t*n[3]+x*k[1]+x*k[2]+x*k[3])

f(x, t) = a[0]+exp(t*n[1]+x*k[1])+exp(t*n[2]+x*k[2])+exp(t*n[3]+x*k[3])+a[1]*exp(t*n[1]+t*n[2]+x*k[1]+x*k[2])+a[2]*exp(t*n[1]+t*n[3]+x*k[1]+x*k[3])+a[3]*exp(t*n[2]+t*n[3]+x*k[2]+x*k[3])+a[4]*exp(t*n[1]+t*n[2]+t*n[3]+x*k[1]+x*k[2]+x*k[3])

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Download N-soliton.mw

How find parameters in in equation invol...

Asked: salim-barzani 210 Product: Maple

January 19 2025

2 4

the most paper use another function to get the result and then do substitute i try to get by the way of them but i fail so how about if we can get the results in direct function there is any way for finding thus parameter after substitution of our function in ode?

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Warning, A new binding for the name `gamma` has been created. The global instance of this name is still accessible using the :- prefix, :-`gamma`. See ?protect for details.

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F := U(xi) = sum(tanh(xi)^(i-1)*(B[i]*sech(xi)+A[i]*tanh(xi)), i = 1 .. n)+A[0]

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Error, (in unknown) incorrect use of identity(<expr>,<name>)

Download Find_params.mw

How do complicated substitution in ode...

Asked: salim-barzani 210 Product: Maple 2024

January 17 2025

0 0

i try to get same result by substituation but i don't know what is mistake after i take second derivative is wronge i don't know how get same result as in paper did can anyone help to calculate this part is not hard but is complicated ,How calculated second derivative and put in our ode to get the parameters?

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