Liouville soliton surfaces obtained using Darboux transformations

S. C. Mancas; Keshav Acharya; Haret C Rosu; Stefani Mancas

doi:10.1088/1402-4896/acdda9

Liouville soliton surfaces obtained using Darboux transformations

S. C. Mancas, Keshav Acharya, Haret C Rosu, Stefani Mancas

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Abstract

We construct parametric Liouville surfaces corresponding to parametric soliton solutions of the Liouville equation and Darboux-transformed counterparts. We also use a modified variation of parameters method together with the elliptic functions method to obtain the traveling wave solutions to Liouville equation and express the centroaffine invariant in terms of the soliton Hamiltonian

Original language	American English
Journal	Physica Scripta
Volume	98
DOIs	https://doi.org/10.1088/1402-4896/acdda9
State	Published - Jun 26 2023

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Physical Sciences and Mathematics

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title = "Liouville soliton surfaces obtained using Darboux transformations",

abstract = " We construct parametric Liouville surfaces corresponding to parametric soliton solutions of the Liouville equation and Darboux-transformed counterparts. We also use a modified variation of parameters method together with the elliptic functions method to obtain the traveling wave solutions to Liouville equation and express the centroaffine invariant in terms of the soliton Hamiltonian ",

author = "Mancas, {S. C.} and Keshav Acharya and Rosu, {Haret C} and Stefani Mancas",

year = "2023",

month = jun,

day = "26",

doi = "10.1088/1402-4896/acdda9",

language = "American English",

volume = "98",

journal = "Physica Scripta",

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T1 - Liouville soliton surfaces obtained using Darboux transformations

AU - Mancas, S. C.

AU - Acharya, Keshav

AU - Rosu, Haret C

AU - Mancas, Stefani

PY - 2023/6/26

Y1 - 2023/6/26

N2 - We construct parametric Liouville surfaces corresponding to parametric soliton solutions of the Liouville equation and Darboux-transformed counterparts. We also use a modified variation of parameters method together with the elliptic functions method to obtain the traveling wave solutions to Liouville equation and express the centroaffine invariant in terms of the soliton Hamiltonian

AB - We construct parametric Liouville surfaces corresponding to parametric soliton solutions of the Liouville equation and Darboux-transformed counterparts. We also use a modified variation of parameters method together with the elliptic functions method to obtain the traveling wave solutions to Liouville equation and express the centroaffine invariant in terms of the soliton Hamiltonian

UR - https://iopscience.iop.org/article/10.1088/1402-4896/acdda9

U2 - 10.1088/1402-4896/acdda9

DO - 10.1088/1402-4896/acdda9

M3 - Article

SN - 1402-4896

VL - 98

JO - Physica Scripta

JF - Physica Scripta

ER -

Liouville soliton surfaces obtained using Darboux transformations

Abstract

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