1 1 u m (t) u m () exp [ (cπm + (πm κ)t (5). u m (), U(x, ) f(x) m,, (4) U(x, t) Re u k () u m () [ u k () exp(πkx), u k () exp(πkx). f(x) exp[ πmxdx

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1 1 1 1 1. U(x, t) U(x, t) + c t x c, κ. (1). κ U(x, t) x. (1) 1, f(x).. U(x, t) U(x, t) + c κ U(x, t), t x x : U(, t) U(1, t) ( x 1), () : U(x, ) f(x). (3) U(x, t). [ U(x, t) Re u k (t) exp(πkx). (4) (4) (1), du k (t) exp(πkx) dt cπku k (t) exp(πkx) (πk κu k (t) exp(πkx). exp( πmx) (m, ) 1 m., du k (t) 1 exp(π{k m}x)dx (cπk + (πk κ)u k (t) exp(π{k m}x)dx, dt du m (t) dt (cπm + (πm κ)u m (t). 1 16-oghara.tex 1//16( )

1 1 u m (t) u m () exp [ (cπm + (πm κ)t (5). u m (), U(x, ) f(x) m,, (4) U(x, t) Re u k () u m () [ u k () exp(πkx), u k () exp(πkx). f(x) exp[ πmxdx (6) u k () exp(kπ{x ct} {πk} κt) f(x) exp[ πkxdx. kπc, (πk κ... f(x) sn(πx), (8) [ ( ) x.5 f(x) exp. (9).5 (7) :f(x) sn(πx) (6) (8). u m () sn(πx) exp[ πmxdx sn(πx)(cos(πmx) sn(πmx))dx (cos(πmx) sn(πx) sn(πmx) sn(πx))dx 1 16-oghara.tex 1//16( )

1 1 3. m 1, u m1 () sn (πx)dx [ x cos ( πx) 1. (1) (1) (7), [ U(x, t) Re exp(π{x ct} {π} κt) (11) 1 sn(π{x ct} {π} κt) (1). [ ( ) x.5 :f(x) exp.5 (6) (9). [ 1 ( ) x.5 u m () exp exp[ πmxdx.5 [ exp ( x x + 4 ) exp[ πmxdx [ exp exp exp ( x ( πm)x + 4 ) dx ( [ x 1 πm ( [ x 1 πm exp [ πm (πm) exp 4 + 4 ( 1 πm exp [ πm (πm) ( [ x 1 πm dx dx dx. (13) 1 16-oghara.tex 1//16( )

1 1 4 (13) 1 1 ). (??) (7), [ U(x, t) Re u k () exp(kπ{x ct} {πk} κt) ( 1 u k () exp [ πk (πk) exp x 1 πk dx (14) 1 ) g(x) a exp[ x b c x b,,.., a 1, b 1, c 1 α, I(α) exp[ αx dx... I. x,y, I (α), x r cos θ,y r sn θ, d(exp[ αr ) dr., I (α) π π exp[ αx exp[ αy dxdy exp[ α(x + y )dxdy. dθ exp[ αr rdrdθ r exp[ αr dr. αr exp[ αr,. π [ I (α) dθ 1 α exp[ αr 1 π (exp[ exp[ ) α π α I(α) π α 1 16-oghara.tex 1//16( )

1 1 5. 1 (1).. 3., ➀, ➁,, ➂, 3.,. 1. ➀ ➁ ➂ & 1:. 6.,.. c κ ν t x 1. m s.1 m s.5.15 s.1 m :. 1,. 1 16-oghara.tex 1//16( )

1 1 6 1: f(x) sn(πx). [ ( ) x.5 : f(x) exp..5 1 16-oghara.tex 1//16( )

1 1 7 ➀ (1),. U( x, n t) U n, ( U n+1 U n c U +1 n U 1 n + κ n U t x x x U ) n + x 1 1 c U +1 n U 1 n + κ ( U n +1 U n U ) n U 1 n x x x x c x (U +1 n U 1) n + κ ( ) U n ( x +1 U n + U 1 n., U n+1 U n c t x (U n +1 U n 1) + κ t ( x ( U n +1 U n ) + U 1 n. (15) (15) [ 3 4. f(x) ( ) x.5 sn(πx) f(x) exp..5 t 1. 3: f(x) sn(πx), x.1, t.15, t 1. t x., t x. 1 16-oghara.tex 1//16( )

1 1 8 4: f(x) sn(πx), x.1, t.15, t 1. 1. 1 1 1 : 1 (Mesnger and Arakawa,1976: Chapt3) λ 1 + 1 + ( c t x (.15 1.1565 1 1..1 1 16-oghara.tex 1//16( )

1 1 9 ➁ (1),,, ( U n+1 U n 1 c U +1 n U 1 n + κ n 1 U t x x x U ) n 1 + x 1 1 c U +1 n U 1 n + κ ( U n 1 +1 U n 1 U n 1 U n 1 ) 1 x x x x c x (U +1 n U 1) n + κ ( ) U n 1 n 1 ( x +1 U + U n 1 1., U n+1 U n 1 c t x (U +1 n U 1) n + κ t ( U n 1 n 1 ( x +1 U ) + U n 1 1. (16) (16) [ 7 8. f(x) ( ) x.5 sn(πx) f(x) exp..5 t 1. 5: f(x) sn(πx), x.1, t.15, t 1. 1 16-oghara.tex 1//16( )

1 1 1 6: f(x) sn(πx), x.1, t.15, t 1... 1. π t x 1 π t x.785. ( π < κ t 1 x ( π κ t.493 x. c > κ π x. 1 16-oghara.tex 1//16( )

1 1 11 ➂ ➂. (n 1) t. U. (16), U n+1, U n U n 1 U n, c t n, (U+1 x U n, 1 ) + κ t ( U n 1 n 1 ( x +1 U +.5µ(U n+1, U n, ) + U n 1 1, (17) + U n 1 ) (18) (17), (18)????. [ ( ) x.5 f(x) sn(πx) f(x) exp..5 t 1. 7: f(x) sn(πx), x.1, t.15, t 1.. 1 16-oghara.tex 1//16( )

1 1 1 8: f(x) sn(πx), x.1, t.15, t 1. 1 16-oghara.tex 1//16( )

1 1 13, 4,,, ISBN:41361357, 1, URL:http://www.ep.sc.hokuda.ac.jp/ psg/doc11/oghara B/oghara B.pdf, 1, 1 1 : 1 (Mesnger and Arakawa,1976: Chapt3) URL:http://www.ep.sc.hokuda.ac.jp/ gfdlab/comptech/y1/resume/16/11 16- takuya.pdf, 11, () URL:http://www.ep.sc.hokuda.ac.jp/ gfdlab/comptech/resume/84/11 83-oghara.pdf, 1, URL:http://www.ep.sc.hokuda.ac.jp/ gfdlab/comptech/resume/11/1 11-oghara.pdf, 1, 1 URL:http://www.ep.sc.hokuda.ac.jp/ gfdlab/comptech/resume/119/1 -oghara.pdf 1 16-oghara.tex 1//16( )

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