The variable-length stem structures in three-soliton resonance of the Kadomtsev-Petviashvili II equation

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Yuan, Feng, He, Jingsong, Cheng, Yi
Formato:	Preprint
Publicado:	2026
Materias:	Mathematical Physics
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Localized stem structures in quasi-resonant solutions of the Kadomtsev-Petviashvili equation
por: Yuan, Feng, et al.
Publicado: (2025)

Localized stem structures in soliton reconnection of the asymmetric Nizhnik-Novikov-Veselov system
por: Yuan, Feng, et al.
Publicado: (2025)

General soliton solutions to the coupled Hirota equation via the Kadomtsev-Petviashvili reduction
por: Shi, Changyan, et al.
Publicado: (2025)

Direct linearisation of the non-commutative Kadomtsev-Petviashvili equations
por: Blower, Gordon, et al.
Publicado: (2024)

Lie symmetry analysis of (2+1)-dimensional time fractional Kadomtsev-Petviashvili equation
por: Yu, Jicheng, et al.
Publicado: (2024)

Hyperelliptic sigma functions and the Kadomtsev-Petviashvili equation
por: Ayano, Takanori, et al.
Publicado: (2025)

Lagrangian multiforms for Kadomtsev-Petviashvili (KP) and the Gelfand-Dickey hierarchy
por: Sleigh, Duncan, et al.
Publicado: (2020)

Localized excitation on the Jacobi elliptic periodic background for the (n+1)-dimensional generalized Kadomtsev-Petviashvili equation
por: Li, Jia-bin, et al.
Publicado: (2024)

A plethora of fully localised solitary waves for the full-dispersion Kadomtsev-Petviashvili equation
por: Ehrnström, Mats, et al.
Publicado: (2025)

Critical lengths for the linear Kadomtsev-Petviashvili II equation
por: Capistrano-Filho, Roberto de A., et al.
Publicado: (2024)

Localized stem structures in quasi-resonant two-soliton solutions for the asymmetric Nizhnik-Novikov-Veselov system
por: Yuan, Feng, et al.
Publicado: (2024)

Existence of Traveling Wave Solutions for the Perturbed Extended Kadomtsev–Petviashvili Equation
por: Bo Yan, et al.
Publicado: (2025)

Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation
por: Bo Yang, et al.
Publicado: (2024)

Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type
por: Bychkov, Boris, et al.
Publicado: (2020)

Stability of Kadomtsev-Petviashvili multi-line solitons
por: Wu, Derchyi
Publicado: (2022)

Anomalous Scattering of Lumps and Interaction of Lump Chains in the Modified Kadomtsev–Petviashvili‐I Equation
por: Tianwei Qiu, et al.
Publicado: (2026)

Web‐Structured Soliton Solutions for the (2+1)‐Dimensional B‐Type Kadomtsev‐Petviashvili Equation
por: Zhen Zhao, et al.
Publicado: (2025)

The inverse scattering theory of Kadomtsev-Petviashvili II equations
por: Wu, Derchyi
Publicado: (2024)

The Kadomtsev-Petviashvili equation in conformal variables for waves over topography
por: Andrade, David, et al.
Publicado: (2026)

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions
por: Vergallo, Pierandrea
Publicado: (2025)

Linear systems, determinants and solutions of the Kadomtsev-Petviashvili equation
por: Blower, Gordon, et al.
Publicado: (2025)

Kadomtsev-Petviashvili hierarchies with non-formal pseudo-differential operators, non-formal solutions, and a Yang-Mills--like formulation
por: Magnot, Jean-Pierre, et al.
Publicado: (2024)

An Extended Modified Kadomtsov-Petviashvili Equation: Ermakov-Painlevé II Symmetry Reduction with Moving Boundary Application
por: Rogers, Colin, et al.
Publicado: (2026)

The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below $L^2$
por: Herr, Sebastian, et al.
Publicado: (2024)

On the Gevrey regularity of the fifth-order Kadomtsev-Petviashvili-II equation: An improved approach
por: Boukarou, Aissa, et al.
Publicado: (2025)

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions
por: Ammari, Habib, et al.
Publicado: (2025)

The soliton resolution conjecture for the Boussinesq equation
por: Charlier, Christophe, et al.
Publicado: (2023)

On orbital stability of solitons for 2D Maxwell-Lorentz equations
por: Komech, Alexander, et al.
Publicado: (2023)

On global attraction to solitons for 3D Maxwell-Lorentz equations
por: Kopylova, E. A., et al.
Publicado: (2023)

Torsionless three-dimensional Heterotic solitons with harmonic curvature are rigid
por: Moroianu, Andrei, et al.
Publicado: (2026)

On soliton asymptotics for 2D Maxwell-Lorentz equations with rotating particle
por: Kopylova, Elena
Publicado: (2025)

N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions
por: Guofei Zhang, et al.
Publicado: (2025)

Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle
por: Kopylova, Elena, et al.
Publicado: (2023)

Pfaffian solution for dark-dark soliton to the coupled complex modified Korteweg-de Vries equation
por: Li, Chenxi, et al.
Publicado: (2025)

Soliton resolution and asymptotic stability of $N$-loop-soliton solutions for the Ostrovsky-Vakhnenko equation
por: Ma, Ruihong, et al.
Publicado: (2023)

Interactions of soliton and mean field in KdV equation with well type initial data
por: Gong, Ruizhi, et al.
Publicado: (2024)

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

Confinement and orbital stability of solitons of the NLS equation on metric graphs
por: Caliaro, Martino, et al.
Publicado: (2026)

Time-marching representation based quantum algorithms for the Lattice Boltzmann model of the advection-diffusion equation
por: He, Yuan, et al.
Publicado: (2026)

Well-posedness of generalized Kadomtsev-Petviashvili systems
por: Magnot, Jean-Pierre, et al.
Publicado: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"fd6b46637e60a3678af459e7da1c9fd7"
language	"es"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790990025.0746 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "fd6b46637e60a3678af459e7da1c9fd7" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=fd6b46637e60a3678af459e7da1c9fd7; language=es; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"9832"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2601_20277/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2601_20277/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790990025.0638
REQUEST_TIME	1790990025

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler