Rational and interactive solutions to the B-type Kadomtsev-Petviashvili equation (Q6599001)

scientific article; zbMATH DE number 7907286

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English	Rational and interactive solutions to the B-type Kadomtsev-Petviashvili equation	scientific article; zbMATH DE number 7907286

Statements

instance of

scholarly article

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title

Rational and interactive solutions to the B-type Kadomtsev-Petviashvili equation (English)

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Journal of Applied Analysis and Computation

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publication date

5 September 2024

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zbMATH Keywords

Hirota method

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BKP equation

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lump solutions

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lump-kink solutions

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Advances in dynamics, patterns, cognition. Challenges in complexity

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Point vortex dynamics: A classical mathematics playground

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Vortices and polynomials

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Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation

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Wronskian and linear superposition solutions to generalized KP and BKP equations

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Rational solutions of the Boussinesq equation and applications to rogue waves

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Q3688825

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Q4265278

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Q3994822

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On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane

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Resonant behavior of multiple wave solutions to a Hirota bilinear equation

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Q5483262

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Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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Q4828547

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Q5621188

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Soliton solution to BKP equation in Wronskian form

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The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction

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Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the \((2+1)\)-dimensional BKP equation

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New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model

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Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types

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Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation

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Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws

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Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation

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Lump solutions to the Kadomtsev-Petviashvili equation

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Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

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Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations

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Complexiton solutions to the asymmetric Nizhnik–Novikov–Veselov equation

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A (2+1)-dimensional shallow water equation and its explicit lump solutions

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A study of lump and line rogue wave solutions to a (2+1)-dimensional nonlinear equation

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Lump solutions to a \((2+1)\)-dimensional extended KP equation

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Exact multi-soliton solution of the Benjamin-Ono equation

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Q4002235

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Hall-Littlewood symmetric functions and the BKP equation

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A RELATIONSHIP BETWEEN RATIONAL AND MULTI-SOLITON SOLUTIONS OF THE BKP HIERARCHY

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Generalized \(Q\)-functions and \(UC\) hierarchy of \(B\)-type

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Complex sine-Gordon-2: A new algorithm for multivortex solutions on the plane

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Nonlinear dynamics and statistical physics of DNA

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Experimental Results Related to DNLS Equations

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Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii-Kadomtsev-Petviashvili equation

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Two-dimensional lumps in nonlinear dispersive systems

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Interaction of lumps and dark solitons in the Mel'nikov equation

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Lump and interaction solutions to the \((2+1)\)-dimensional Burgers equation

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Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions

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Painlevé analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form

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Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior

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Lump solutions to the BKP equation by symbolic computation

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Abundant Mixed Lump-Soliton Solutions to the BKP Equation

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Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction

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Mixed lump-kink solutions to the BKP equation

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Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction between<i>k</i>‐lump and<i>k</i>‐stripe soliton solutions for the generalized KP equation

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Applications of linear superposition principle to resonant solitons and complexitons

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Complexiton solutions to soliton equations by the Hirota method

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Complexiton solutions to the Hirota‐Satsuma‐Ito equation

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Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation

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Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation

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Identifiers

DOI

10.11948/20200446

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6599001