Add to ORKGSufficient conditions for constructing a set of solutions of the Toda lattice are analyzed. First, under certain conditions the invariance of the spectrum of Jt is established in the complex case. Second, given the tri-diagonal matrix Jt defining a Toda lattice solution, the dynamic behavior of zeros of polynomials associated to Jt is analyzed. Finally, it is shown by means of an example how to apply our results to generate complex solutions of the Toda lattice starting with a given solution. Copyright q 2009 D. Barrios Rolanı́a and J. R. Gascón Márquez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the or...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
AbstractFirst, we derive a simple connection between Toda and Langmuir lattices and give a character...
Given the tridiagonal matrix J(t) defining a Toda lattice solution, the dynamic behavior of zeros of...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
n this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials ort...
n this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials ort...
Several inverse spectral problems are solved by a method which is based on exact solu-tions of the s...
Several inverse spectral problems are solved by a method which is based on exact solu-tions of the s...
Transformation of the measure of orthogonality for orthogonal polynomials, namely Freud transformati...
Several inverse spectral problems are solved by a method which is based on exact solu-tions of the s...
The first main aim of this article is to derive an explicit solution formula for the scalar two-dime...
The first main aim of this article is to derive an explicit solution formula for the scalar two-dime...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
AbstractFirst, we derive a simple connection between Toda and Langmuir lattices and give a character...
Given the tridiagonal matrix J(t) defining a Toda lattice solution, the dynamic behavior of zeros of...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
n this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials ort...
n this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials ort...
Several inverse spectral problems are solved by a method which is based on exact solu-tions of the s...
Several inverse spectral problems are solved by a method which is based on exact solu-tions of the s...
Transformation of the measure of orthogonality for orthogonal polynomials, namely Freud transformati...
Several inverse spectral problems are solved by a method which is based on exact solu-tions of the s...
The first main aim of this article is to derive an explicit solution formula for the scalar two-dime...
The first main aim of this article is to derive an explicit solution formula for the scalar two-dime...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
AbstractFirst, we derive a simple connection between Toda and Langmuir lattices and give a character...