(* ::Package:: *)

(**********************************************************************)
(* data file lp_KdV-4.m *)
(*   *)
(* Last Updated: June 26, 2017 by Hereman *)
(* For testing purposes: All info is given: Lax matrices as well as the functions are given *)
(***   KORTEWEG-DE VRIES EQUATION   ***)

ddEQ = {(x[0,0,0] - x[1,1,0])(x[1,0,0]-x[0,1,0]) - p^2 + q^2};

nameINPUT = "Korteweg-de Vries (KdV) Equation";
ddeEquationListINPUT = ddEQ;

(* *)
laxPairMatrixL = {{x[0,0,0], p^2 - k^2 - x[0,0,0]*x[1,0,0]},
 {1, - x[1,0,0]}};
(* *)

(* *)
laxPairMatrixM = {{x[0,0,0], q^2 - k^2 - x[0,0,0]*x[0,1,0]},
 {1, - x[0,1,0]}};
(* *)

(* Setting explicitScalars to False or True is mandatory: *)
(* Set to False if no information about the sclalars t and s is given by the user. *)
(* Set to True if specific expressions for sclalars t and s should be used. *)

explicitScalars = True;

(* *)
tFunc = kkk;
sFunc = kkk;
(* *)
