Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation

DOI10.1007/s11071-018-4612-4zbMath1439.35418OpenAlexW2896044367MaRDI QIDQ784037

Hadi Rezazadeh, Jian-guo Liu, Mostafa Eslami, Mohammad Mirzazadeh

Publication date: 5 August 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4612-4

zbMATH Keywords

rational solutionsHirota's bilinear formlump solutionsvariable-coefficient Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (27)

Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation ⋮ New exact solutions for the Kaup-Kupershmidt equation ⋮ Hermite multiwavelets representation for the sparse solution of nonlinear Abel's integral equation ⋮ A novel method for the analytical solution of fractional Zakharov-Kuznetsov equations ⋮ The plethora of explicit solutions of the fractional KS equation through liquid-gas bubbles mix under the thermodynamic conditions via Atangana-Baleanu derivative operator ⋮ The analytical interface coupling of arbitrary-order fractional nonlinear hyperbolic scalar conservation laws ⋮ Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X=Mo,Cu)) based on ternary alloys ⋮ Combined damped sinusoidal oscillation solutions to the \((3 + 1)\)-D variable-coefficient generalized NLW equation in liquid with gas bubbles ⋮ General high-order localized waves to the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics ⋮ Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications ⋮ New exponential and complex traveling wave solutions to the Konopelchenko-Dubrovsky model ⋮ New exact solutions of nonlinear \((3 + 1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Various exact analytical solutions of a variable-coefficient Kadomtsev-Petviashvili equation ⋮ Construction of abundant solutions for two kinds of \((3+1)\)-dimensional equations with time-dependent coefficients ⋮ Lump solutions to a generalized nonlinear PDE with four fourth-order terms ⋮ Three-dimensional static analysis of multilayered one-dimensional orthorhombic quasicrystal spherical shells with the piezoelectric effect ⋮ New exact solutions of Kolmogorov Petrovskii Piskunov equation, Fitzhugh Nagumo equation, and Newell-Whitehead equation ⋮ The functional variable method to find new exact solutions of the nonlinear evolution equations with dual-power-law nonlinearity ⋮ Computational wave solutions of generalized higher-order nonlinear Boussinesq dynamical wave equation ⋮ A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system ⋮ \(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles ⋮ Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation ⋮ Different wave structures to the \((2+1)\)-dimensional generalized Bogoyavlensky-Konopelchenko equation ⋮ The deterministic and stochastic solutions for the nonlinear Phi-4 equation ⋮ Conservation laws, analytical solutions and stability analysis for the time-fractional Schamel-Zakharov-Kuznetsov-Burgers equation ⋮ On the exact traveling wave solutions to the van der Waals p-system

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple-soliton solutions for a \((3 + 1)\)-dimensional generalized KP equation
• Lump and lump-kink solutions of the \((3+1)\)-dimensional Jimbo-Miwa and two extended Jimbo-Miwa equations
• Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
• Painlevé analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form
• Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation
• New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions
• Multi-soliton solutions for a \((2+1)\)-dimensional variable-coefficient nonlinear Schrödinger equation
• Multiple soliton solutions for the new \((2 + 1)\)-dimensional Korteweg-de Vries equation by multiple \(\exp\)-function method
• Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
• Negative-order integrable modified KdV equations of higher orders
• Determinant solutions to a \((3+1)\)-dimensional generalized KP equation with variable coefficients
• Lax pair, infinitely many conservation laws and solitons for a \((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients
• Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium
• Solitons for a generalized sixth-order variable-coefficient nonlinear Schrödinger equation for the attosecond pulses in an optical fiber
• A two-mode modified KdV equation with multiple soliton solutions
• Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique
• An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients
• Compact and noncompact physical structures for the ZK-BBM equation
• Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations
• The Darboux transformation of the derivative nonlinear Schrödinger equation
• A new integrable equation that combines the KdV equation with the negative-order KdV equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Method for Solving the Korteweg-deVries Equation
• Wave collapse in plasmas and fluids
• Bilinear forms and dark soliton behaviors for a higher-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous alpha helical protein
• Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada–Kotera Equation
• A Pair of Resonance Stripe Solitons and Lump Solutions to a Reduced (3+1)-Dimensional Nonlinear Evolution Equation

This page was built for publication: Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation