## 130 Reputation

5 years, 167 days

## How to integrate the expression when x i...

Maple 18

How to evaluate the integration when ?

integration_24sep.mw

## How to simplify this?...

Maple 18

xE.mw

I integrate the expression maple but the result is large. How to furtherxE.mw reduce the size of the result? Also, what is dilog on maple?

## How to calculate this?...

Maple 18

, where  is a complex parameter,  is a real constant and, , then how to calculate |u|^{2} on maple?

## Why Maple is not plotting the solution?...

Maple 18

 > restart;
 > with(PDEtools):
 > with(plot):
 > A1:=Matrix([[phi,(chi),conjugate(phi),conjugate(chi)],           [chi,(phi),conjugate(chi),conjugate(phi)],           [lambda*phi,-(lambda)*(chi),            conjugate(lambda)*conjugate(phi),-conjugate(lambda)*conjugate(chi)],           [lambda*chi,-(lambda)*(phi),            conjugate(lambda)*conjugate(chi),-conjugate(lambda)*conjugate(phi)]]);
 (1)
 > d1 := LinearAlgebra:-Determinant(A1):
 > d1; length(%);
 (2)
 > den:=simplify(d1,size); length(%);
 (3)
 >
 > con1:=phi=exp(I*lambda*(x-t/(4*lambda^2)-w^2)):con2:=chi=exp(-I*lambda*(x-t/(4*lambda^2)-w^2)):
 >
 > den1:=simplify(dsubs({con1,con2},den));
 (4)
 > plot3d(subs(Re(lambda)=1, Im(lambda)=.2, w=1, rhs(den1)),x=-6..6, t=-6..6)
 >
 >

## How to common a factor appears in many t...

Maple 18

> den := -(-(conjugate(chi)-conjugate(phi))*(chi+phi)*conjugate(lambda)+lambda*(conjugate(chi)+conjugate(phi))*(chi-phi))*(-(conjugate(chi)+conjugate(phi))*(chi-phi)*conjugate(lambda)+lambda*(conjugate(chi)-conjugate(phi))*(chi+phi));

> phi:=exp(I*lambda*(x-t/(4*lambda^2)-w^2)):chi:=exp(-I*lambda*(x-t/(4*lambda^2)-w^2)):

> den1:=simplify(dsubs({phi,chi},den));

> dsubs({exp((1/4*I)*(4*lambda^2*w^2-4*lambda^2*x+t)/lambda), exp(-(1/4*I)*(4*lambda^2*w^2-4*lambda^2*x+t)/lambda)}, 4*conjugate(lambda)^2*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2-4*conjugate(lambda)^2*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2+8*abs(lambda)^2*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2+8*abs(lambda)^2*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2+4*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2*lambda^2-4*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2*lambda^2-16*abs(lambda)^2)

Since "cos(...)" appears in every term in last equation (except a last one), how to common it?

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