Auto-Bäcklund transformation and exact solutions for a new integrable (3+1)-dimensional KdV-CBS equation (Q6554403)

scientific article; zbMATH DE number 7864141

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English	Auto-Bäcklund transformation and exact solutions for a new integrable (3+1)-dimensional KdV-CBS equation	scientific article; zbMATH DE number 7864141

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scholarly article

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title

Auto-Bäcklund transformation and exact solutions for a new integrable (3+1)-dimensional KdV-CBS equation (English)

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Qualitative Theory of Dynamical Systems

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publication date

12 June 2024

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zbMATH Keywords

KdV-CBS equation

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auto-Bäcklund transformation

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multiple-soliton solutions

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Lie symmetry method

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conservation laws

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MaRDI profile type

Publication

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cites work

Numerous accurate and stable solitary wave solutions to the generalized modified equal-width equation

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Modulation instability, bifurcation analysis and solitonic waves in nonlinear optical media with odd-order dispersion

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Lie symmetry analysis and invariant solutions of \((3+1)\)-dimensional Calogero-Bogoyavlenskii-Schiff equation

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Structures of interaction between lump, breather, rogue and periodic wave solutions for new \((3 + 1)\)-dimensional negative order KdV-CBS model

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Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota's bilinear method

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On group of Lie symmetry analysis, explicit series solutions and conservation laws for the time-fractional (2 + 1)-dimensional Zakharov-Kuznetsov \((q,p,r)\) equation

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Symmetry reductions and exact solutions to the systems of carbon nanotubes conveying fluid

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Advancements in computational techniques for precise solitary wave solutions in the (1+1)-dimensional Mikhailov-Novikov-Wang equation

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Soliton propagation under diffusive and nonlinear effects in physical systems; \((1+1)\)-dimensional \(\mathbb{MNW}\) integrable equation

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N1-soliton solution for Schrödinger equation with competing weakly nonlocal and parabolic law nonlinearities

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Phase transition from soliton to breather, soliton-breather molecules, breather molecules of the Caudrey-Dodd-Gibbon equation

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Interaction behaviors between solitons, breathers and their hybrid forms for a short pulse equation

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Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves

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Bifurcation solitons and breathers for the nonlocal Boussinesq equations

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The nonlinear vibration and dispersive wave systems with cross-kink and solitary wave solutions

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A new conservation theorem

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Identifiers

zbMATH Open document ID

1542.35341

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DOI

10.1007/s12346-024-01062-4

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6554403