Cover Image

A nonlocal coupled modified complex integrable dispersionless equation: Darboux transformation, soliton-type solutions and its asymptotic behavior

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sun, Hong-Qian, Shen, Shou-Feng, Zhu, Zuo-Nong
Format:	Preprint
Published:	2025
Subjects:	Exactly Solvable and Integrable Systems 35Q51, 37K10, 37K15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Multiple double-valley and single-valley dark solitons in the complex modified Korteweg-de Vries equation: shape-preserving collisions and shape-altering collisions
by: Huang, Yingcan, et al.
Published: (2026)

Matrix Lax pairs under the gauge equivalence relation induced by the gauge group action and Miura-type transformations for lattice equations
by: Igonin, Sergei
Published: (2024)

On some linear equations associated with dispersionless integrable systems
by: Bogdanov, L. V.
Published: (2024)

A dressing method for soliton solutions of the Camassa-Holm equation
by: Ivanov, Rossen, et al.
Published: (2017)

Analyzing the relationship between infinite symmetries and $N$-soliton solutions in the AKNS system
by: Hao, Xiazhi, et al.
Published: (2025)

The gauge action on semi-discrete Lax representations and its invariants
by: Igonin, Sergei
Published: (2026)

Simplifications of Lax pairs for differential-difference equations by gauge transformations and (doubly) modified integrable equations
by: Igonin, Sergei
Published: (2024)

A modified Korteweg-de Vries equation soliton gas under the nonzero background
by: Zhang, Xiaoen, et al.
Published: (2024)

Nonlocal conservation laws of the constant astigmatism equation
by: Hlaváč, Adam, et al.
Published: (2016)

Toda Darboux transformations and vacuum expectation values
by: Wang, Chengwei, et al.
Published: (2024)

General Zakharov-Shabat equations without Lax operators
by: Noumi, Masatoshi, et al.
Published: (2025)

The Modified Toda Hierarchy
by: Rui, Wenjuan, et al.
Published: (2024)

On matrix Lax representations and constructions of Miura-type transformations for differential-difference equations
by: Chistov, Evgeny, et al.
Published: (2024)

On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one
by: Opanasenko, Stanislav, et al.
Published: (2024)

Negative Hierarchy of Hydrodynamic Type Equations
by: Zheltukhin, Kostyantyn
Published: (2026)

From pencils of Novikov algebras of Stäckel type to soliton hierarchies
by: Błaszak, Maciej, et al.
Published: (2026)

Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
by: Hu, Xin, et al.
Published: (2024)

Algebro-geometric integration to the discrete Chen-Lee-Liu system
by: Xu, Xiaoxue, et al.
Published: (2025)

Bi-Hamiltonian structures of WDVV-type
by: Opanasenko, S., et al.
Published: (2024)

A vectorial Darboux transformation for integrable matrix versions of the Fokas-Lenells equation
by: Müller-Hoissen, Folkert, et al.
Published: (2025)

Spectral theory of soliton gases for the defocusing NLS equation
by: Tovbis, Alexander, et al.
Published: (2025)

Cauchy matrix structures and solutions to the nonisospectral three-component mKdV equations
by: Tian, Mengli, et al.
Published: (2025)

Classification of 1+0 two-dimensional Hamiltonian operators
by: Rizzo, Alessandra
Published: (2024)

On matrix Lax representations for (1+1)-dimensional evolutionary differential-difference equations
by: Igonin, Sergei
Published: (2026)

Painlevé Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System
by: Demir, Taylan
Published: (2025)

Solutions of generalized constrained discrete KP hierarchy
by: Mu, Xuepu, et al.
Published: (2024)

The tau functions of the constrained CKP hierarchy
by: Chen, Danqi, et al.
Published: (2026)

One reduction of the modified Toda hierarchy
by: Wang, Jinbiao, et al.
Published: (2025)

Soliton resolution and asymptotic stability of $N$-solitons to the Degasperis-Procesi equation on the line
by: Zhou, Xuan, et al.
Published: (2022)

On zero-background solitons of the sharp-line Maxwell-Bloch equations
by: Li, Sitai
Published: (2024)

Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings
by: Croydon, David A., et al.
Published: (2020)

On the non-chiral intermediate long wave equation
by: Berntson, Bjorn K., et al.
Published: (2020)

Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps
by: Kassotakis, Pavlos
Published: (2022)

The Orlov-Schulman symmetries of the Manakov-Santini hierarchy
by: Bogdanov, L. V.
Published: (2025)

Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity
by: Deng, Xijun, et al.
Published: (2025)

A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential
by: Borot, Gaëtan, et al.
Published: (2023)

Lax structure and tau function for large BKP hierarchy
by: Guan, Wenchuang, et al.
Published: (2024)

3D-consistency of negative flows
by: Adler, V. E.
Published: (2024)

Integrable evolutions of twisted polygons in centro-affine $\mathbb{R}^m$
by: Beffa, Gloria Marí, et al.
Published: (2019)

Orlov-Schulman symmetries of the self-dual conformal structure equations
by: Bogdanov, L. V.
Published: (2026)