4 research outputs found

    Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields

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    In this article, lump solutions, lump with I-kink, lump with II- kink, periodic, multiwaves, rogue waves and several other interactions such as lump interaction with II-kink, interaction between lump, lump with I-kink and periodic, interaction between lump, lump with II-kink and periodic are derived for Pavlov equation by using appropriate transformations. Additionally, we also present 3-dimensional, 2-dimensional and contour graphs for our solutions

    Applications of complete discrimination system approach to analyze the dynamic characteristics of the cubic–quintic nonlinear Schrodinger equation with optical soliton and bifurcation analysis

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    In this research, the complete discriminant system (CDS) of polynomial method (CDSPM) will be applied to analyze the dynamic characteristics of the cubic–quintic nonlinear Schrodinger equation (CQNLSE) with an additional anti-cubic nonlinear term (CQNLSE-AC) with a particular emphasis on the introduction of various optical solitons and wave structures. Our analysis of the CQNLSE-AC illustrates the importance of CDSPM, and we give dynamic results, such as critical conditions and bifurcation points for solutions. Additionally, we determine several types of optical soliton solutions, including Jacobian elliptic function (JEF), hyperbolic function, and trigonometric function solutions, and also convert JEF into solitary wave (SW) solutions

    Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation

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    We investigate the rational solitons of the nonlinear (3+1)-dimensional Geng (NG)-equation via symbolic computation with ansatz functions technique and the logarithmic transformation. The (3+1) NG-equation uses in shallow water wave dynamics. Multiwave solitons are reported by using three-waves technique. Homocentric breathers (HBs) approach is also applied to built new forms of exact solutions. Furthermore periodic cross rational solitons (PCRS) and kink cross rational solitons (KCRS) are examined through suitable transformations. We construct M-shape solitons and their dynamics are shown via the appropriate values of parameters. Additionally, two types of interactions for rational soliton with kink wave are investigated

    Combining heavy flavour electroweak measurements at LEP

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