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KADOMTSEVPETVIASHVILI EQUATION
"... Abstract. The rotationmodified KadomtsevPetviashvili equation describes smallamplitude, long internal waves propagating in one primary direction in a rotating frame of reference. The main investigation is the the existence and properties of its solitary waves. The existence and nonexistence resu ..."
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Abstract. The rotationmodified KadomtsevPetviashvili equation describes smallamplitude, long internal waves propagating in one primary direction in a rotating frame of reference. The main investigation is the the existence and properties of its solitary waves. The existence and non
The KadomtsevPetviashvili equation (KP)
, 2008
"... We introduce the notion of abelian solutions of KP equations and show that all of them are algebrogeometric. ..."
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We introduce the notion of abelian solutions of KP equations and show that all of them are algebrogeometric.
A MULTIPLICITY RESULT FOR THE GENERALIZED KADOMTSEV–PETVIASHVILI EQUATION
"... We consider the existence and multiplicity of solitary waves of the generalized Kadomtsev–Petviashvili equation (1) ωt + ωxxx + (f(ω))x = D −1 x ωyy, ..."
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Cited by 1 (0 self)
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We consider the existence and multiplicity of solitary waves of the generalized Kadomtsev–Petviashvili equation (1) ωt + ωxxx + (f(ω))x = D −1 x ωyy,
Asymptotics of the solitary waves for the generalised KadomtsevPetviashvili equations
, 902
"... We investigate the asymptotic behaviour of the localised solitary waves for the generalised KadomtsevPetviashvili equations. In particular, we compute their first order asymptotics in any dimension N ≥ 2. 1 ..."
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We investigate the asymptotic behaviour of the localised solitary waves for the generalised KadomtsevPetviashvili equations. In particular, we compute their first order asymptotics in any dimension N ≥ 2. 1
A splitting approach for the Kadomtsev–Petviashvili equationI
"... We consider a splitting approach for the Kadomtsev–Petviashvili equation with periodic boundary conditions and show that the necessary interpolation procedure can be efficiently implemented. The error made by this numerical scheme is compared to exponential integrators which have been shown in Klei ..."
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We consider a splitting approach for the Kadomtsev–Petviashvili equation with periodic boundary conditions and show that the necessary interpolation procedure can be efficiently implemented. The error made by this numerical scheme is compared to exponential integrators which have been shown
Complete lntegrability of the KadomtsevPetviashvili Equation
, 1984
"... The total hierarchy of the KadomtsevPetviashvili (KP) equation is transformed to the system of linear partial differential equations with constant coeffkients. The complete integrability of the KP equation is proved by using this linear system. The existence and uniqueness theorem of the Cauchy pro ..."
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The total hierarchy of the KadomtsevPetviashvili (KP) equation is transformed to the system of linear partial differential equations with constant coeffkients. The complete integrability of the KP equation is proved by using this linear system. The existence and uniqueness theorem of the Cauchy
Toda lattice and KadomtsevPetviashvili equation
, 2008
"... Multivariate hypergeometric functions as tau functions of ..."
Variable Separation and Exact Solutions for the KadomtsevPetviashvili Equation
, 2015
"... In the paper, we will discuss the KadomtsevPetviashvili Equation which is used to model shallowwater waves with weakly nonlinear restoring forces and is also used to model waves in ferromagnetic media by employing the method of variable separation. Abundant exact solutions including global smoo ..."
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In the paper, we will discuss the KadomtsevPetviashvili Equation which is used to model shallowwater waves with weakly nonlinear restoring forces and is also used to model waves in ferromagnetic media by employing the method of variable separation. Abundant exact solutions including global
KINK DEGENERACY AND ROGUE WAVE FOR POTENTIAL KADOMTSEVPETVIASHVILI EQUATION by
"... A new method called homoclinic breather limit method is proposed to solve the Potential KadomtsevPetviashvili equation, breather kinkwave and periodic soliton are obtained, and kink degeneracy and new rogue wave are first found in this paper. Key words: Potential KadomtsevPetviashvili equation, r ..."
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A new method called homoclinic breather limit method is proposed to solve the Potential KadomtsevPetviashvili equation, breather kinkwave and periodic soliton are obtained, and kink degeneracy and new rogue wave are first found in this paper. Key words: Potential KadomtsevPetviashvili equation
The Cauchy Problem on the Plane for the Dispersionless Kadomtsev Petviashvili Equation
, 2008
"... We construct the formal solution of the Cauchy problem for the dispersionless Kadomtsev Petviashvili equation as application of the Inverse Scattering Transform for the vector field corresponding to a Newtonian particle in a timedependent potential. This is in full analogy with the Cauchy problem ..."
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Cited by 35 (7 self)
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We construct the formal solution of the Cauchy problem for the dispersionless Kadomtsev Petviashvili equation as application of the Inverse Scattering Transform for the vector field corresponding to a Newtonian particle in a timedependent potential. This is in full analogy with the Cauchy problem
Results 1  10
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1,392