Cover Image

Construction and analysis of multi-lump solutions of dispersive long wave equations via integer partitions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	An, Yong-Ning, Guo, Rui
Format:	Preprint
Published:	2024
Subjects:	Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optical dispersive shock waves of initial pulses in optical fibers with high-order dispersion and quintic nonlinearity effects
by: Ren, Hua-Ying, et al.
Published: (2026)

Multi-lump, lump-kink and interaction of breather with other nonlinear waves of a couple Boussinesq system
by: Nasipuri, Snehalata, et al.
Published: (2025)

Comments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions."
by: Cherniha, Roman
Published: (2024)

Globally conservative weak solutions for a class of two-component nonlinear dispersive wave equations beyond wave breaking
by: Zhou, Yonghui, et al.
Published: (2024)

Mixed single, double, and triple poles solutions for the space-time shifted nonlocal DNLS equation with nonzero boundary conditions via Riemann--Hilbert approach
by: Liu, Xin-Yu, et al.
Published: (2024)

Exact solution of the propagation of ON-OFF signals by dispersive waves
by: Yamamoto, Ken
Published: (2024)

Nonlinearly dispersive KP equations with new compacton solutions
by: Anco, Stephen C., et al.
Published: (2021)

Constructing solutions of simplex equations from polygon equations
by: Mihalache, Serban Matei, et al.
Published: (2025)

Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting
by: Ampatzoglou, Ioakeim, et al.
Published: (2021)

On the solutions of a factorized wave equation
by: Churilov, Semyon
Published: (2024)

Novel energy preserving bijections between affine crystals for $U_q(\widehat{\mathfrak{sl}}_2)$ and integer partitions
by: Miyazawa, Sota, et al.
Published: (2026)

Operational solutions for the generalized Fokker-Planck and generalized diffusion-wave equations
by: Górska, K.
Published: (2025)

Exact quantization of nonreciprocal quasi-lumped electrical networks
by: Parra-Rodriguez, A., et al.
Published: (2024)

Nonexistence of multi-bubble radial solutions to the 3D energy critical wave equation
by: Shen, Ruipeng
Published: (2026)

On invariant solutions of linear time-fractional diffusion-wave equations with variable coefficients
by: Adiya, Sodbaatar, et al.
Published: (2026)

On the energy transfer towards large values of wavenumbers for solutions of 4-wave kinetic equations
by: Staffilani, Gigliola, et al.
Published: (2024)

Travelling-wave solutions and solitons of KdV, mKdV and NLS equations
by: Chatterjee, Supriya, et al.
Published: (2025)

Chapter Restricted integer partition functions
by: Alon, Noga
Published: (2019)

Generalized $β$ and $(q,t)$-deformed partition functions with $W$-representations and Nekrasov partition functions
by: Liu, Fan, et al.
Published: (2024)

Deformed and undeformed localized wave solutions for the two-component (2+1)-dimensional Fokas-Lenells equation
by: Wang, Yanan, et al.
Published: (2026)

On the N-elliptic localized solutions to the derivative nonlinear Schrödinger equation and their asymptotic analysis
by: Ling, Liming, et al.
Published: (2025)

Weak compactons of nonlinearly dispersive KdV and KP equations
by: Anco, Stephen C., et al.
Published: (2024)

New exact solutions to the generalized shallow water wave equation
by: Mia, Rajib, et al.
Published: (2024)

Exact soliton solutions and long-time asymptotics of the Yajima-Oikawa equation via Riemann-Hilbert approach
by: Wang, Deng-Shan, et al.
Published: (2025)

Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential
by: Polyanin, Andrei D., et al.
Published: (2024)

Peaked Stokes waves as solutions of Babenko's equation
by: Locke, Spencer, et al.
Published: (2024)

On the steadiness of symmetric solutions to two dimensional dispersive models
by: Pei, Long, et al.
Published: (2024)

Orthonormal Strichartz estimate for dispersive equations with potentials
by: Hoshiya, Akitoshi
Published: (2024)

Representations of solutions of time-fractional multi-order systems of differential-operator equations
by: Umarov, Sabir
Published: (2024)

Existence of multiple periodic solutions to a semilinear wave equation with $x$-dependent coefficients
by: Wei, Hui, et al.
Published: (2018)

Heat and thermal travelling wave solutions of a nonlinear Maxwell-Cattaneo-Vernotte equation
by: Filippo, Munafò Carmelo, et al.
Published: (2026)

The miracle of integer eigenvalues
by: Kenyon, Richard, et al.
Published: (2024)

The exact travelling wave solutions of a KPP equation
by: Kogan, Eugene
Published: (2024)

Riemann-Hilbert approach to the Algebro-Geometric solution of the modified Camassa-Holm equation with linear dispersion term
by: Fan, Engui, et al.
Published: (2025)

Construction of multi‐bubble blow‐up solutions to the L2$L^2$‐critical half‐wave equation
by: Daomin Cao, et al.
Published: (2024)

Characteristic solutions of the chain of Vlasov equations
by: Perepelkin, E. E., et al.
Published: (2025)

Differential equation for partition functions and a duality pseudo-forest
by: Vanchurin, Vitaly
Published: (2019)

Construction of a new (3 + 1)-dimensional KdV equation and its closed-form solutions with solitary wave behaviour and conserved vectors
by: Benoudina, Nardjess, et al.
Published: (2024)

On the long-time behavior of scale-invariant solutions to the 2d Euler equation and applications
by: Elgindi, Tarek. M., et al.
Published: (2022)

Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation
by: Hayashi, Masayuki
Published: (2018)