5 years, 49 days

## @acer I double checked it. I didn&#...

@acer I double checked it. I didn't use lambda[1] in the entire worksheet.

## another determinant...

@dharr Thanks. But now I solved another determinant and this time Maple split 'lambda' into 'real' and 'imaginary' parts in some places and keep 'lambda' or 'conjugate(lambda)' remains same (look at (7)). How to fix it?

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## @rlopez because u, ub, and their de...

@rlopez because u, ub, and their derivatives are non-abelian i.e. their multiplication are non-commutative. That's why I used bold black dots.

## tried it...

@rlopez I try it as you suggested but got a '0' answer for all the coefficients.

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## @mmcdara when we change "y1:=-...

@mmcdara when we change "y1:=-1*v^2+1/8*v^4" to "y1:=-1*v^2+1/4*v^4", it shows an error. How to remove it?

## @ecterrab I removed it. But still n...

@ecterrab I removed it. But still not working.

## @tomleslie Can we plot (4)? I tried...

@tomleslie Can we plot (4)? I tried it by putting "
plot(rhs(%), {_C1 = 1, c = 1, g = 1.5}, x = -10 .. 10);" just after (4). But encountered with "Error, invalid input: rhs received [w(x) = 2*JacobiSN((1/2)*(-2*c+2*(c^2+2*g)^(1/2))^(1/2)*x+_C1, ((c*(c^2+2*g)^(1/2)-c^2-g)*g)^(1/2)/(c*(c^2+2*g)^(1/2)-c^2-g))*g/(g*(-c+(c^2+2*g)^(1/2)))^(1/2)], which is not valid for its 1st argument, expr"

## @Rouben Rostamian  When I execute L...

@Rouben Rostamian  When I execute Lineaize.mw on my computer. Maple returns "Error, (in collect) cannot collect 0"

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In  replace  by the symbol , etc., linearize with respect to those symbols,

and then restore the symbols to their original meanings:

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## @Rouben Rostamian  I got it. But wh...

@Rouben Rostamian  I got it. But when we use eq (5) into eq (4), maple gives eq (6) after simplification. How can we know the result (eq (6)) is correct?

## @Carl Love epsilon derivative ...

@Carl Love epsilon derivative raised to power 2 or higher can be removed.

## @Carl Love After doing mtaylor...

@Carl Love After doing mtaylor, no derivative involve in the final equation. See attachment (where I didn't use mtaylor), there are also derivative terms like diff(epsilon[2], t), etc in equation (6). But I am not clear whether the calculations are going in the right direction or not?

Calculation.mw

## @Carl Love as per your suggestion, ...

@Carl Love as per your suggestion, I got linearize equation. But epsilon[1] and epsilon[2] are functions of and t. How to do it with epsilon[1]=epsilon[1](x,t) and epsilon[2]=epsilon[2](x,t)?

## @Kitonum how to get continuous syst...

@Kitonum how to get continuous system from dicrete system by sending h (lattice parameter along x-axis) approaches to zero in maple? i.e., in the attached worksheet, if we send h --> 0, then eq (5) reduces to q_{xt} + (2r)r_{x}=0. How to do that in maple?

CD_new.mw

## @Kitonum D2 is the derivative?...

@Kitonum D2 is the derivative?

## @Carl Love very nice explanation. T...

@Carl Love very nice explanation. To understand completely I need more details on "order", "digits" and "degree".

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