DELIB Zoomeron equation

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Matched equation

Referenced information about matched equation

Type of information	Location
General	Calogero and Degasperis (page 58), Mathworld , Rogers and Schief

Main features of matched equation

Type: PDE
Linearity: non-linear
Order: 4
Number of independent variables: 2
Number of dependent variables: 1
Functions appearing in equation: constant
Has initial and/or boundary conditions: no
Features of one of the terms:
1. Linearity: non-linear
2. Order: 4
3. Contains: a mixed derivative
4. Contains: an un-expanded operator
Features of one of the terms:
1. Linearity: non-linear
2. Order: 2
3. Degree: 2
4. Contains: a mixed derivative
5. Contains: a constant

Computer representations

Language	Representation
Latex	$\surround{\Pdiff[2]{}{t}-\Pdiff[2]{}{x}} \surround{\frac{\Pdiff{\Pdiff{u}{x}}{t}}{u}} + 2\Pdiff{\Pdiff{\surround{u^2}{x}}{t} = 0$
	obtain LaTeX macro package
MathML	click here

References

F. Calogero and A. Degasperis, Spectal Transforms and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations, North-Holland Publishing Co., New York, 1982.
C. Rogers and W. K. Schief, Backlund and Darboux Transformations Geometry and Modern Applications in Soliton Theory, Cambirdge University Press, 2002.