A coupled Ramani equation: multiple soliton solutions

DOI10.1007/s10910-014-0372-7zbMath1301.35142OpenAlexW1994454815MaRDI QIDQ460964

Abdul-Majid Wazwaz

Publication date: 9 October 2014

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-014-0372-7

zbMATH Keywords

multiple soliton solutionssimplified Hirota's methodcoupled Ramani equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (3)

Gaussian solitary waves for the logarithmic-BBM and the logarithmic-TRLW equations ⋮ A new analytic solution of fractional coupled Ramani equation ⋮ Symmetry analysis, explicit solutions, and conservation laws of a sixth-order nonlinear Ramani equation

Cites Work

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• Lie symmetries and conservation laws of the Hirota-Ramani equation
• Linear superposition principle applying to Hirota bilinear equations
• Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
• KdV6: an integrable system
• Exact solutions of the \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
• Symbolic methods to construct exact solutions of nonlinear partial differential equations
• A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
• Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation
• Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6
• Partial differential equations and solitary waves theory
• Bilinear equations and resonant solutions characterized by Bell polynomials
• The one-dimensional heat equation subject to a boundary integral specification
• Exact solutions and conservation laws of a coupled integrable dispersionless system
• A multiple exp-function method for nonlinear differential equations and its application
• Multiple soliton solutions for a new coupled Ramani equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A new integrable generalization of the Korteweg–de Vries equation

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