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the Kortewegde Vries equation.
"... An initialboundaryvalue problem that approximate the quarterplane problem for ..."
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An initialboundaryvalue problem that approximate the quarterplane problem for
Numerical solitons of generalized Kortewegde Vries equations
 Appl. Math. Comput
, 2007
"... Abstract. We propose a numerical method for finding solitary wave solutions of generalized Kortewegde Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We specially discuss the soliton solut ..."
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Cited by 2 (1 self)
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Abstract. We propose a numerical method for finding solitary wave solutions of generalized Kortewegde Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We specially discuss the soliton
THE GENERALIZED KORTEWEGDE VRIES EQUATION ON THE HALF LINE
, 2002
"... Abstract. The initialboundary value problem for the generalized Kortewegde Vries equation on a halfline is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initialboundary setting. The approach consists of replacing the initialboundary prob ..."
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Abstract. The initialboundary value problem for the generalized Kortewegde Vries equation on a halfline is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initialboundary setting. The approach consists of replacing the initial
the Kortewegde Vries
"... An initialboundaryvalue problem that approximate the quarterplane problem for ..."
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An initialboundaryvalue problem that approximate the quarterplane problem for
Global wellposedness of kortewegde vries equation in ...
, 2008
"... We prove that the Kortewegde Vries initialvalue problem is globally wellposed in H −3/4 (R) and the modified Kortewegde Vries initialvalue problem is globally wellposed in H 1/4 (R). The new ingredient is that we use directly the contraction principle to prove local wellposedness for KdV equ ..."
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Cited by 32 (3 self)
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We prove that the Kortewegde Vries initialvalue problem is globally wellposed in H −3/4 (R) and the modified Kortewegde Vries initialvalue problem is globally wellposed in H 1/4 (R). The new ingredient is that we use directly the contraction principle to prove local wellposedness for Kd
Exact solutions to the modified Kortewegde Vries equation
 Theor. Math. Phys
"... A formula for certain exact solutions to the modified Kortewegde Vries (mKdV) equation is obtained via the inverse scattering transform method. The kernel of the relevant Marchenko integral equation is written with the help of matrix exponentials as Ω(x + y; t) = Ce−(x+y)Ae8A 3tB, where the real m ..."
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Cited by 2 (0 self)
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A formula for certain exact solutions to the modified Kortewegde Vries (mKdV) equation is obtained via the inverse scattering transform method. The kernel of the relevant Marchenko integral equation is written with the help of matrix exponentials as Ω(x + y; t) = Ce−(x+y)Ae8A 3tB, where the real
Results 1  10
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3,921,824