Constants and pseudo-constants of the Kadomtsev-Petviashvili equation
نویسندگان
چکیده
منابع مشابه
Kadomtsev-Petviashvili equation
Here u = u(x, y, t) is a scalar function, x and y are respectively the longitudinal and transverse spatial coordinates, subscripts x, y, t denote partial derivatives, and σ2 = ±1. The case σ = 1 is known as the KPII equation, and models, for instance, water waves with small surface tension. The case σ = i is known as the KPI equation, and may be used to model waves in thin films with high surfa...
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A quantisation of the KP equation on a cylinder is proposed that is equivalent to an infinite system of non-relativistic one-dimensional bosons carrying masses m = 1, 2, . . . The Hamiltonian is Galilei-invariant and includes the split Ψ m1 Ψ m2 Ψm1+m2 and merge Ψ m1+m2 Ψm1Ψm2 terms for all combinations of particles with masses m1, m2 and m1 + m2, with a special choice of coupling constants. Th...
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Article history: Received 31 March 2015 Received in revised form 18 June 2015 Accepted 30 June 2015 Available online 2 July 2015 Communicated by R. Wu
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The genus-1 Kadomtsev-Petviashvili (KP)-Whitham system is derived for both variants of the KP equation; namely the KPI and KPII equations. The basic properties of the KP-Whitham system, including symmetries, exact reductions and its possible complete integrability, together with the appropriate generalization of the one-dimensional Riemann problem for the Korteweg-de Vries equation are discusse...
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In this paper, the Kadomtsev-Petviashvili equation is solved by using the Adomian’s decomposition method , modified Adomian’s decomposition method , variational iteration method , modified variational iteration method, homotopy perturbation method, modified homotopy perturbation method and homotopy analysis method. The existence and uniqueness of the solution and convergence of the proposed...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1985
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.82.16.5242